130892960 has 72 divisors (see below), whose sum is σ = 339952788. Its totient is φ = 47590400.

The previous prime is 130892959. The next prime is 130892963. The reversal of 130892960 is 69298031.

It can be written as a sum of positive squares in 2 ways, for example, as 129868816 + 1024144 = 11396^2 + 1012^2 .

It is not an unprimeable number, because it can be changed into a prime (130892963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15980 + ... + 22740.

Almost surely, 2^130892960 is an apocalyptic number.

130892960 is a gapful number since it is divisible by the number (10) 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 130892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169976394).

130892960 is an abundant number, since it is smaller than the sum of its proper divisors (209059828).

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

130892960 is a wasteful number, since it uses less digits than its factorization.

130892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 130892960 is about 11440.8461225558. The cubic root of 130892960 is about 507.7369419448.

The spelling of 130892960 in words is "one hundred thirty million, eight hundred ninety-two thousand, nine hundred sixty".