257768 has 16 divisors (see below), whose sum is σ = 552480. Its totient is φ = 110448.

The previous prime is 257731. The next prime is 257783. The reversal of 257768 is 867752.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257768.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2246 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (34530).

2²⁵⁷⁷⁶⁸ is an apocalyptic number.

257768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257768 is an abundant number, since it is smaller than the sum of its proper divisors (294712).

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

257768 is a wasteful number, since it uses less digits than its factorization.

257768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4612 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 257768 is about 507.7085778279. The cubic root of 257768 is about 63.6418800413.

The spelling of 257768 in words is "two hundred fifty-seven thousand, seven hundred sixty-eight".