256023936 has 256 divisors, whose sum is σ = 910656000. Its totient is φ = 69175296.

The previous prime is 256023923. The next prime is 256023949. The reversal of 256023936 is 639320652.

256023936 is a `hidden beast` number, since 2 + 560 + 2 + 3 + 93 + 6 = 666.

256023936 is digitally balanced in base 3, 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 (256023923) and next prime (256023949).

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

It is a self number, because there is not a number n which added to its sum of digits gives 256023936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459370 + ... + 459926.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2^256023936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

256023936 is an abundant number, since it is smaller than the sum of its proper divisors (654632064).

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

256023936 is a wasteful number, since it uses less digits than its factorization.

256023936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 256023936 is about 16000.7479825163. The cubic root of 256023936 is about 634.9802097703.

The spelling of 256023936 in words is "two hundred fifty-six million, twenty-three thousand, nine hundred thirty-six".