256080120 has 64 divisors (see below), whose sum is σ = 772290720. Its totient is φ = 67928064.

The previous prime is 256080113. The next prime is 256080127. The reversal of 256080120 is 21080652.

It is an interprime number because it is at equal distance from previous prime (256080113) and next prime (256080127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256080127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17632 + ... + 28688.

Almost surely, 2^256080120 is an apocalyptic number.

256080120 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 256080120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386145360).

256080120 is an abundant number, since it is smaller than the sum of its proper divisors (516210600).

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

256080120 is a wasteful number, since it uses less digits than its factorization.

256080120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11264 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 256080120 is about 16002.5035541318. The cubic root of 256080120 is about 635.0266548011.

The spelling of 256080120 in words is "two hundred fifty-six million, eighty thousand, one hundred twenty".