256256064 has 189 divisors, whose sum is σ = 795225613. Its totient is φ = 78887424.

The previous prime is 256256053. The next prime is 256256071. The reversal of 256256064 is 460652652.

The square root of 256256064 is 16008.

It is a perfect power (a square), and thus also a powerful number.

256256064 is a `hidden beast` number, since 25 + 6 + 25 + 606 + 4 = 666.

256256064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 121881600 = 11592^2 + 11040^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8836402 + ... + 8836430.

Almost surely, 2^256256064 is an apocalyptic number.

256256064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

256256064 is the 16008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256256064

256256064 is an abundant number, since it is smaller than the sum of its proper divisors (538969549).

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

256256064 is a wasteful number, since it uses less digits than its factorization.

256256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 256256064 is about 635.1720566270.

Multiplying 256256064 by its sum of digits (36), we get a square (9225218304 = 96048²).

256256064 divided by its sum of digits (36) gives a square (7118224 = 2668²).

The spelling of 256256064 in words is "two hundred fifty-six million, two hundred fifty-six thousand, sixty-four".