256664160 has 384 divisors, whose sum is σ = 979776000. Its totient is φ = 62539776.

The previous prime is 256664117. The next prime is 256664167. The reversal of 256664160 is 61466652.

It is a happy number.

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 (256664167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4350211 + ... + 4350269.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^256664160 is an apocalyptic number.

256664160 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 256664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

256664160 is an abundant number, since it is smaller than the sum of its proper divisors (723111840).

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

256664160 is a wasteful number, since it uses less digits than its factorization.

256664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 256664160 is about 16020.7415558706. The cubic root of 256664160 is about 635.5090550867.

The spelling of 256664160 in words is "two hundred fifty-six million, six hundred sixty-four thousand, one hundred sixty".