257062680 has 256 divisors, whose sum is σ = 1006848000. Its totient is φ = 57106944.

The previous prime is 257062649. The next prime is 257062709. The reversal of 257062680 is 86260752.

257062680 is a `hidden beast` number, since 2 + 570 + 6 + 2 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279261 + ... + 280179.

It is an arithmetic number, because the mean of its divisors is an integer number (3933000).

Almost surely, 2^257062680 is an apocalyptic number.

257062680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257062680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503424000).

257062680 is an abundant number, since it is smaller than the sum of its proper divisors (749785320).

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

257062680 is a wasteful number, since it uses less digits than its factorization.

257062680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 257062680 is about 16033.1743581862. The cubic root of 257062680 is about 635.8378012867.

The spelling of 257062680 in words is "two hundred fifty-seven million, sixty-two thousand, six hundred eighty".