256684120 has 64 divisors (see below), whose sum is σ = 720057600. Its totient is φ = 80004480.

The previous prime is 256684111. The next prime is 256684189. The reversal of 256684120 is 21486652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38590 + ... + 44749.

It is an arithmetic number, because the mean of its divisors is an integer number (11250900).

Almost surely, 2^256684120 is an apocalyptic number.

256684120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256684120 is an abundant number, since it is smaller than the sum of its proper divisors (463373480).

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

256684120 is a wasteful number, since it uses less digits than its factorization.

256684120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83368 (or 83364 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 256684120 is about 16021.3644862103. The cubic root of 256684120 is about 635.5255285358.

The spelling of 256684120 in words is "two hundred fifty-six million, six hundred eighty-four thousand, one hundred twenty".