256006864 has 40 divisors (see below), whose sum is σ = 511390880. Its totient is φ = 124080768.

The previous prime is 256006853. The next prime is 256006871. The reversal of 256006864 is 468600652.

It is a super-2 number, since 2×256006864² = 131079028830228992, which contains 22 as substring.

256006864 is a modest number, since divided by 6864 gives 256 as remainder.

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 7 ways as a sum of consecutive naturals, for example, 94294 + ... + 96970.

It is an arithmetic number, because the mean of its divisors is an integer number (12784772).

Almost surely, 2^256006864 is an apocalyptic number.

It is an amenable number.

256006864 is a deficient number, since it is larger than the sum of its proper divisors (255384016).

256006864 is a wasteful number, since it uses less digits than its factorization.

256006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 256006864 is about 16000.2144985622. The cubic root of 256006864 is about 634.9660956953.

The spelling of 256006864 in words is "two hundred fifty-six million, six thousand, eight hundred sixty-four".