256005600 has 72 divisors (see below), whose sum is σ = 833306040. Its totient is φ = 68267520.

The previous prime is 256005587. The next prime is 256005619. The reversal of 256005600 is 6500652.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 50935 + ... + 55734.

It is an arithmetic number, because the mean of its divisors is an integer number (11573695).

Almost surely, 2^256005600 is an apocalyptic number.

256005600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256005600 is an abundant number, since it is smaller than the sum of its proper divisors (577300440).

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

256005600 is a wasteful number, since it uses less digits than its factorization.

256005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106692 (or 106679 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 256005600 is about 16000.1749990430. The cubic root of 256005600 is about 634.9650506733.

The spelling of 256005600 in words is "two hundred fifty-six million, five thousand, six hundred".