256906620 has 48 divisors (see below), whose sum is σ = 799266720. Its totient is φ = 68508288.

The previous prime is 256906583. The next prime is 256906631. The reversal of 256906620 is 26609652.

256906620 is a `hidden beast` number, since 25 + 6 + 9 + 0 + 6 + 620 = 666.

256906620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256906620² = 132002022799648800, which contains 22 as substring.

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

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, 237337 + ... + 238416.

It is an arithmetic number, because the mean of its divisors is an integer number (16651390).

Almost surely, 2^256906620 is an apocalyptic number.

256906620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256906620 is an abundant number, since it is smaller than the sum of its proper divisors (542360100).

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

256906620 is a wasteful number, since it uses less digits than its factorization.

256906620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475771 (or 475763 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 256906620 is about 16028.3068350965. The cubic root of 256906620 is about 635.7091051333.

The spelling of 256906620 in words is "two hundred fifty-six million, nine hundred six thousand, six hundred twenty".