256686120 has 96 divisors (see below), whose sum is σ = 838656000. Its totient is φ = 68086656.

The previous prime is 256686113. The next prime is 256686121. The reversal of 256686120 is 21686652.

256686120 is a `hidden beast` number, since 2 + 566 + 86 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256686121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69849 + ... + 73431.

It is an arithmetic number, because the mean of its divisors is an integer number (8736000).

Almost surely, 2^256686120 is an apocalyptic number.

256686120 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 256686120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328000).

256686120 is an abundant number, since it is smaller than the sum of its proper divisors (581969880).

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

256686120 is a wasteful number, since it uses less digits than its factorization.

256686120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 256686120 is about 16021.4269027450. The cubic root of 256686120 is about 635.5271791349.

The spelling of 256686120 in words is "two hundred fifty-six million, six hundred eighty-six thousand, one hundred twenty".