12580992 has 96 divisors (see below), whose sum is σ = 36968880. Its totient is φ = 4105728.

The previous prime is 12580963. The next prime is 12580993. The reversal of 12580992 is 29908521.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (12580993) 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 11 ways as a sum of consecutive naturals, for example, 77103 + ... + 77265.

Almost surely, 2^12580992 is an apocalyptic number.

12580992 is a gapful number since it is divisible by the number (12) 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 12580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484440).

12580992 is an abundant number, since it is smaller than the sum of its proper divisors (24387888).

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

12580992 is a wasteful number, since it uses less digits than its factorization.

12580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12580992 is about 3546.9694106378. The cubic root of 12580992 is about 232.5796050686.

The spelling of 12580992 in words is "twelve million, five hundred eighty thousand, nine hundred ninety-two".