257968 has 20 divisors (see below), whose sum is σ = 522288. Its totient is φ = 123200.

The previous prime is 257953. The next prime is 257981. The reversal of 257968 is 869752.

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, 18 + ... + 718.

2²⁵⁷⁹⁶⁸ 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 257968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

257968 is an abundant number, since it is smaller than the sum of its proper divisors (264320).

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

257968 is a wasteful number, since it uses less digits than its factorization.

257968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 257968 is about 507.9055030220. The cubic root of 257968 is about 63.6583355174.

It can be divided in two parts, 257 and 968, that added together give a triangular number (1225 = T₄₉).

The spelling of 257968 in words is "two hundred fifty-seven thousand, nine hundred sixty-eight".