256160772 has 96 divisors (see below), whose sum is σ = 771993600. Its totient is φ = 71935776.

The previous prime is 256160767. The next prime is 256160789. The reversal of 256160772 is 277061652.

It is a super-2 number, since 2×256160772² = 131236682223271968, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41733 + ... + 47475.

It is an arithmetic number, because the mean of its divisors is an integer number (8041600).

Almost surely, 2^256160772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256160772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385996800).

256160772 is an abundant number, since it is smaller than the sum of its proper divisors (515832828).

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

256160772 is a wasteful number, since it uses less digits than its factorization.

256160772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 256160772 is about 16005.0233364403. The cubic root of 256160772 is about 635.0933146599.

It can be divided in two parts, 256 and 160772, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 256160772 in words is "two hundred fifty-six million, one hundred sixty thousand, seven hundred seventy-two".