256760160 has 96 divisors (see below), whose sum is σ = 811853280. Its totient is φ = 68210688.

The previous prime is 256760137. The next prime is 256760213. The reversal of 256760160 is 61067652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149386 + ... + 151094.

It is an arithmetic number, because the mean of its divisors is an integer number (8456805).

Almost surely, 2^256760160 is an apocalyptic number.

256760160 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 256760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405926640).

256760160 is an abundant number, since it is smaller than the sum of its proper divisors (555093120).

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

256760160 is a wasteful number, since it uses less digits than its factorization.

256760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 256760160 is about 16023.7373917573. The cubic root of 256760160 is about 635.5882782818.

The spelling of 256760160 in words is "two hundred fifty-six million, seven hundred sixty thousand, one hundred sixty".