273760 has 48 divisors (see below), whose sum is σ = 680400. Its totient is φ = 103936.

The previous prime is 273739. The next prime is 273773. The reversal of 273760 is 67372.

It is a congruent number.

It is an unprimeable number.

273760 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4611 + ... + 4669.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²⁷³⁷⁶⁰ is an apocalyptic number.

273760 is a gapful number since it is divisible by the number (20) 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 273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

273760 is an abundant number, since it is smaller than the sum of its proper divisors (406640).

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

273760 is a wasteful number, since it uses less digits than its factorization.

273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 273760 is about 523.2207946938. The cubic root of 273760 is about 64.9316836473.

The spelling of 273760 in words is "two hundred seventy-three thousand, seven hundred sixty".