130592640 has 128 divisors (see below), whose sum is σ = 440860320. Its totient is φ = 32768000.

The previous prime is 130592633. The next prime is 130592641. The reversal of 130592640 is 46295031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130592598 and 130592607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130592641) by changing a digit.

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, 30640 + ... + 34640.

Almost surely, 2^130592640 is an apocalyptic number.

130592640 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 130592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220430160).

130592640 is an abundant number, since it is smaller than the sum of its proper divisors (310267680).

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

130592640 is a wasteful number, since it uses less digits than its factorization.

130592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130592640 is about 11427.7136820976. The cubic root of 130592640 is about 507.3483284130.

The spelling of 130592640 in words is "one hundred thirty million, five hundred ninety-two thousand, six hundred forty".