1580792961 has 16 divisors (see below), whose sum is σ = 2352810240. Its totient is φ = 935775120.

The previous prime is 1580792947. The next prime is 1580792977. The reversal of 1580792961 is 1692970851.

It is not a de Polignac number, because 1580792961 - 2⁶ = 1580792897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1580792961.

It is not an unprimeable number, because it can be changed into a prime (1580792981) 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, 555591 + ... + 558428.

It is an arithmetic number, because the mean of its divisors is an integer number (147050640).

Almost surely, 2^1580792961 is an apocalyptic number.

1580792961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1580792961 is a deficient number, since it is larger than the sum of its proper divisors (772017279).

1580792961 is a wasteful number, since it uses less digits than its factorization.

1580792961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114076.

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1580792961 is about 39759.1871270025. The cubic root of 1580792961 is about 1164.9080983827.

The spelling of 1580792961 in words is "one billion, five hundred eighty million, seven hundred ninety-two thousand, nine hundred sixty-one".