256526160 has 80 divisors (see below), whose sum is σ = 867533760. Its totient is φ = 62187520.

The previous prime is 256526119. The next prime is 256526327. The reversal of 256526160 is 61625652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 45945 + ... + 51224.

It is an arithmetic number, because the mean of its divisors is an integer number (10844172).

Almost surely, 2^256526160 is an apocalyptic number.

256526160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256526160 is an abundant number, since it is smaller than the sum of its proper divisors (611007600).

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

256526160 is a wasteful number, since it uses less digits than its factorization.

256526160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97196 (or 97190 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 256526160 is about 16016.4340600522. The cubic root of 256526160 is about 635.3951371271.

It can be divided in two parts, 256526 and 160, that added together give a triangular number (256686 = T₇₁₆).

The spelling of 256526160 in words is "two hundred fifty-six million, five hundred twenty-six thousand, one hundred sixty".