130406976 has 112 divisors (see below), whose sum is σ = 438180480. Its totient is φ = 37255680.

The previous prime is 130406951. The next prime is 130406989. The reversal of 130406976 is 679604031.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 130406976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6706 + ... + 17486.

Almost surely, 2^130406976 is an apocalyptic number.

130406976 is a gapful number since it is divisible by the number (16) 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 130406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219090240).

130406976 is an abundant number, since it is smaller than the sum of its proper divisors (307773504).

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

130406976 is a wasteful number, since it uses less digits than its factorization.

130406976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130406976 is about 11419.5873830888. The cubic root of 130406976 is about 507.1077814341.

The spelling of 130406976 in words is "one hundred thirty million, four hundred six thousand, nine hundred seventy-six".