256906800 has 90 divisors (see below), whose sum is σ = 891550452. Its totient is φ = 68507520.

The previous prime is 256906789. The next prime is 256906801. The reversal of 256906800 is 8609652.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×256906800² = 132002207772480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (256906801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32082 + ... + 39281.

Almost surely, 2^256906800 is an apocalyptic number.

256906800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256906800 is an abundant number, since it is smaller than the sum of its proper divisors (634643652).

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

256906800 is a wasteful number, since it uses less digits than its factorization.

256906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71387 (or 71373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 256906800 is about 16028.3124501614. The cubic root of 256906800 is about 635.7092536018.

The spelling of 256906800 in words is "two hundred fifty-six million, nine hundred six thousand, eight hundred".