256880160 has 144 divisors (see below), whose sum is σ = 909207936. Its totient is φ = 68491008.

The previous prime is 256880119. The next prime is 256880179. The reversal of 256880160 is 61088652.

It is a happy number.

256880160 is a `hidden beast` number, since 2 + 568 + 80 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35577 + ... + 42183.

It is an arithmetic number, because the mean of its divisors is an integer number (6313944).

Almost surely, 2^256880160 is an apocalyptic number.

256880160 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 256880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454603968).

256880160 is an abundant number, since it is smaller than the sum of its proper divisors (652327776).

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

256880160 is an equidigital number, since it uses as much as digits as its factorization.

256880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 256880160 is about 16027.4813991469. The cubic root of 256880160 is about 635.6872795112.

It can be divided in two parts, 2568 and 80160, that added together give a palindrome (82728).

The spelling of 256880160 in words is "two hundred fifty-six million, eight hundred eighty thousand, one hundred sixty".