256167920 has 20 divisors (see below), whose sum is σ = 595590600. Its totient is φ = 102467136.

The previous prime is 256167881. The next prime is 256167941. The reversal of 256167920 is 29761652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1600970 + ... + 1601129.

It is an arithmetic number, because the mean of its divisors is an integer number (29779530).

Almost surely, 2^256167920 is an apocalyptic number.

256167920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256167920 is an abundant number, since it is smaller than the sum of its proper divisors (339422680).

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

256167920 is a wasteful number, since it uses less digits than its factorization.

256167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202112 (or 3202106 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 256167920 is about 16005.2466397741. The cubic root of 256167920 is about 635.0992218938.

The spelling of 256167920 in words is "two hundred fifty-six million, one hundred sixty-seven thousand, nine hundred twenty".