257161968 has 60 divisors (see below), whose sum is σ = 822513328. Its totient is φ = 73474560.

The previous prime is 257161967. The next prime is 257161969. The reversal of 257161968 is 869161752.

257161968 is a `hidden beast` number, since 2 + 571 + 6 + 19 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (257161967) and next prime (257161969).

It is a super-2 number, since 2×257161968² = 132264555571266048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257161967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126553 + ... + 128568.

Almost surely, 2^257161968 is an apocalyptic number.

257161968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257161968 is an abundant number, since it is smaller than the sum of its proper divisors (565351360).

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

257161968 is a wasteful number, since it uses less digits than its factorization.

257161968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255142 (or 255133 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 257161968 is about 16036.2703893393. The cubic root of 257161968 is about 635.9196528380.

The spelling of 257161968 in words is "two hundred fifty-seven million, one hundred sixty-one thousand, nine hundred sixty-eight".