256105620 has 72 divisors (see below), whose sum is σ = 778161384. Its totient is φ = 68179968.

The previous prime is 256105609. The next prime is 256105627. The reversal of 256105620 is 26501652.

256105620 is a `hidden beast` number, since 25 + 6 + 10 + 5 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75794436 + 180311184 = 8706^2 + 13428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256105627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196812 + ... + 198108.

It is an arithmetic number, because the mean of its divisors is an integer number (10807797).

Almost surely, 2^256105620 is an apocalyptic number.

256105620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256105620 is an abundant number, since it is smaller than the sum of its proper divisors (522055764).

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

256105620 is a wasteful number, since it uses less digits than its factorization.

256105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 256105620 is about 16003.3002846288. The cubic root of 256105620 is about 635.0477323740.

The spelling of 256105620 in words is "two hundred fifty-six million, one hundred five thousand, six hundred twenty".