256191120 has 160 divisors (see below), whose sum is σ = 893692800. Its totient is φ = 67447296.

The previous prime is 256191109. The next prime is 256191149. The reversal of 256191120 is 21191652.

256191120 is a `hidden beast` number, since 2 + 561 + 91 + 12 + 0 = 666.

256191120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178566 + ... + 179994.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^256191120 is an apocalyptic number.

256191120 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 256191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

256191120 is an abundant number, since it is smaller than the sum of its proper divisors (637501680).

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

256191120 is a wasteful number, since it uses less digits than its factorization.

256191120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 256191120 is about 16005.9713857048. The cubic root of 256191120 is about 635.1183940279.

The spelling of 256191120 in words is "two hundred fifty-six million, one hundred ninety-one thousand, one hundred twenty".