256662160 has 80 divisors (see below), whose sum is σ = 614424960. Its totient is φ = 99671040.

The previous prime is 256662157. The next prime is 256662167. The reversal of 256662160 is 61266652.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (256662167) 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 15 ways as a sum of consecutive naturals, for example, 414331 + ... + 414949.

It is an arithmetic number, because the mean of its divisors is an integer number (7680312).

Almost surely, 2^256662160 is an apocalyptic number.

256662160 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 256662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307212480).

256662160 is an abundant number, since it is smaller than the sum of its proper divisors (357762800).

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

256662160 is a wasteful number, since it uses less digits than its factorization.

256662160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 256662160 is about 16020.6791366658. The cubic root of 256662160 is about 635.5074043934.

The spelling of 256662160 in words is "two hundred fifty-six million, six hundred sixty-two thousand, one hundred sixty".