130586624 has 48 divisors (see below), whose sum is σ = 298443600. Its totient is φ = 55959552.

The previous prime is 130586611. The next prime is 130586627. The reversal of 130586624 is 426685031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130586627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9782 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (6217575).

Almost surely, 2^130586624 is an apocalyptic number.

130586624 is a gapful number since it is divisible by the number (14) 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 130586624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149221800).

130586624 is an abundant number, since it is smaller than the sum of its proper divisors (167856976).

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

130586624 is an frugal number, since it uses more digits than its factorization.

130586624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 130586624 is about 11427.4504593107. The cubic root of 130586624 is about 507.3405376360.

The spelling of 130586624 in words is "one hundred thirty million, five hundred eighty-six thousand, six hundred twenty-four".