163760 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 61952.

The previous prime is 163753. The next prime is 163771. The reversal of 163760 is 67361.

163760 = T₁₃₅ + T₁₃₆ + ... + T₁₅₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

163760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1796 + ... + 1884.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2¹⁶³⁷⁶⁰ is an apocalyptic number.

163760 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 163760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

163760 is an abundant number, since it is smaller than the sum of its proper divisors (238000).

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

163760 is a wasteful number, since it uses less digits than its factorization.

163760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 163760 is about 404.6727072586. The cubic root of 163760 is about 54.7103227190.

The spelling of 163760 in words is "one hundred sixty-three thousand, seven hundred sixty".