257086560 has 96 divisors (see below), whose sum is σ = 815415552. Its totient is φ = 68083200.

The previous prime is 257086559. The next prime is 257086591. The reversal of 257086560 is 65680752.

It is a happy number.

257086560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 70707 + ... + 74253.

It is an arithmetic number, because the mean of its divisors is an integer number (8493912).

Almost surely, 2^257086560 is an apocalyptic number.

257086560 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 257086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407707776).

257086560 is an abundant number, since it is smaller than the sum of its proper divisors (558328992).

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

257086560 is a wasteful number, since it uses less digits than its factorization.

257086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 257086560 is about 16033.9190468207. The cubic root of 257086560 is about 635.8574895284.

The spelling of 257086560 in words is "two hundred fifty-seven million, eighty-six thousand, five hundred sixty".