130624832 has 56 divisors (see below), whose sum is σ = 281101800. Its totient is φ = 60223488.

The previous prime is 130624799. The next prime is 130624849. The reversal of 130624832 is 238426031.

It can be written as a sum of positive squares in 4 ways, for example, as 81288256 + 49336576 = 9016^2 + 7024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130624795 and 130624804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140144 + ... + 141072.

It is an arithmetic number, because the mean of its divisors is an integer number (5019675).

Almost surely, 2^130624832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140550900).

130624832 is an abundant number, since it is smaller than the sum of its proper divisors (150476968).

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

130624832 is an frugal number, since it uses more digits than its factorization.

130624832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 130624832 is about 11429.1221010190. The cubic root of 130624832 is about 507.3900132929.

The spelling of 130624832 in words is "one hundred thirty million, six hundred twenty-four thousand, eight hundred thirty-two".