12583980 has 36 divisors (see below), whose sum is σ = 38171952. Its totient is φ = 3355680.

The previous prime is 12583979. The next prime is 12583981. The reversal of 12583980 is 8938521.

It is an interprime number because it is at equal distance from previous prime (12583979) and next prime (12583981).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (12583981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34776 + ... + 35135.

It is an arithmetic number, because the mean of its divisors is an integer number (1060332).

Almost surely, 2^12583980 is an apocalyptic number.

12583980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12583980 is an abundant number, since it is smaller than the sum of its proper divisors (25587972).

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

12583980 is a wasteful number, since it uses less digits than its factorization.

12583980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69926 (or 69921 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 12583980 is about 3547.3905902790. The cubic root of 12583980 is about 232.5980162519.

The spelling of 12583980 in words is "twelve million, five hundred eighty-three thousand, nine hundred eighty".