257796 has 96 divisors (see below), whose sum is σ = 860160. Its totient is φ = 64800.

The previous prime is 257791. The next prime is 257797. The reversal of 257796 is 697752.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26460) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 257796.

It is not an unprimeable number, because it can be changed into a prime (257791) by changing a digit.

257796 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 31 ways as a sum of consecutive naturals, for example, 8301 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2²⁵⁷⁷⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430080).

257796 is an abundant number, since it is smaller than the sum of its proper divisors (602364).

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

257796 is a wasteful number, since it uses less digits than its factorization.

257796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 54 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 257796 is about 507.7361519530. The cubic root of 257796 is about 63.6441843202.

The spelling of 257796 in words is "two hundred fifty-seven thousand, seven hundred ninety-six".