130616640 has 672 divisors, whose sum is σ = 608624640. Its totient is φ = 24883200.

The previous prime is 130616639. The next prime is 130616653. The reversal of 130616640 is 46616031.

130616640 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4213425 + ... + 4213455.

Almost surely, 2^130616640 is an apocalyptic number.

130616640 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 130616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312320).

130616640 is an abundant number, since it is smaller than the sum of its proper divisors (478008000).

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

130616640 is a wasteful number, since it uses less digits than its factorization.

130616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130616640 is about 11428.7637126681. The cubic root of 130616640 is about 507.3794062595.

It can be divided in two parts, 13061 and 6640, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 130616640 in words is "one hundred thirty million, six hundred sixteen thousand, six hundred forty".