256632120 has 96 divisors (see below), whose sum is σ = 854446320. Its totient is φ = 66762240.

The previous prime is 256632113. The next prime is 256632133. The reversal of 256632120 is 21236652.

256632120 is a `hidden beast` number, since 2 + 5 + 6 + 632 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6067 + ... + 23453.

Almost surely, 2^256632120 is an apocalyptic number.

256632120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256632120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427223160).

256632120 is an abundant number, since it is smaller than the sum of its proper divisors (597814200).

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

256632120 is a wasteful number, since it uses less digits than its factorization.

256632120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17445 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 256632120 is about 16019.7415709493. The cubic root of 256632120 is about 635.4826099486.

Adding to 256632120 its reverse (21236652), we get a palindrome (277868772).

The spelling of 256632120 in words is "two hundred fifty-six million, six hundred thirty-two thousand, one hundred twenty".