257606676 has 96 divisors (see below), whose sum is σ = 684992000. Its totient is φ = 83700864.

The previous prime is 257606669. The next prime is 257606689. The reversal of 257606676 is 676606752.

257606676 is a `hidden beast` number, since 2 + 576 + 0 + 6 + 6 + 76 = 666.

It is a super-2 number, since 2×257606676² = 132722399039537952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929850 + ... + 930126.

Almost surely, 2^257606676 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 257606676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342496000).

257606676 is an abundant number, since it is smaller than the sum of its proper divisors (427385324).

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

257606676 is a wasteful number, since it uses less digits than its factorization.

257606676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 257606676 is about 16050.1300929307. The cubic root of 257606676 is about 636.2860052214.

The spelling of 257606676 in words is "two hundred fifty-seven million, six hundred six thousand, six hundred seventy-six".