155760 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 37120.

The previous prime is 155747. The next prime is 155773. The reversal of 155760 is 67551.

It is an interprime number because it is at equal distance from previous prime (155747) and next prime (155773).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×155760² = 48522355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 155760.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 155760.

It is an unprimeable number.

155760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁵⁵⁷⁶⁰ is an apocalyptic number.

155760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

155760 is an abundant number, since it is smaller than the sum of its proper divisors (379920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155760 is a wasteful number, since it uses less digits than its factorization.

155760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 155760 is about 394.6644144080. The cubic root of 155760 is about 53.8045057332.

Subtracting from 155760 its reverse (67551), we obtain a square (88209 = 297²).

It can be divided in two parts, 15 and 5760, that added together give a palindrome (5775).

The spelling of 155760 in words is "one hundred fifty-five thousand, seven hundred sixty".