257069568 has 80 divisors (see below), whose sum is σ = 782717760. Its totient is φ = 73445376.

The previous prime is 257069539. The next prime is 257069591. The reversal of 257069568 is 865960752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203 + ... + 22706.

It is an arithmetic number, because the mean of its divisors is an integer number (9783972).

Almost surely, 2^257069568 is an apocalyptic number.

257069568 is a gapful number since it is divisible by the number (28) 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 257069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391358880).

257069568 is an abundant number, since it is smaller than the sum of its proper divisors (525648192).

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

257069568 is an equidigital number, since it uses as much as digits as its factorization.

257069568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23937 (or 23921 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 257069568 is about 16033.3891613720. The cubic root of 257069568 is about 635.8434803318.

The spelling of 257069568 in words is "two hundred fifty-seven million, sixty-nine thousand, five hundred sixty-eight".