256689888 has 96 divisors (see below), whose sum is σ = 829334016. Its totient is φ = 67696128.

The previous prime is 256689869. The next prime is 256689907. The reversal of 256689888 is 888986652.

256689888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256689869) and next prime (256689907).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5956 + ... + 23427.

It is an arithmetic number, because the mean of its divisors is an integer number (8638896).

Almost surely, 2^256689888 is an apocalyptic number.

256689888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256689888 is an abundant number, since it is smaller than the sum of its proper divisors (572644128).

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

256689888 is a wasteful number, since it uses less digits than its factorization.

256689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29416 (or 29408 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The square root of 256689888 is about 16021.5444948357. The cubic root of 256689888 is about 635.5302888404.

The spelling of 256689888 in words is "two hundred fifty-six million, six hundred eighty-nine thousand, eight hundred eighty-eight".