257646096 has 160 divisors (see below), whose sum is σ = 772768000. Its totient is φ = 83140992.

The previous prime is 257646031. The next prime is 257646107. The reversal of 257646096 is 690646752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294605 + ... + 1294803.

It is an arithmetic number, because the mean of its divisors is an integer number (4829800).

Almost surely, 2^257646096 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 257646096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386384000).

257646096 is an abundant number, since it is smaller than the sum of its proper divisors (515121904).

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

257646096 is an equidigital number, since it uses as much as digits as its factorization.

257646096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 257646096 is about 16051.3580733843. The cubic root of 257646096 is about 636.3184592393.

The spelling of 257646096 in words is "two hundred fifty-seven million, six hundred forty-six thousand, ninety-six".