12591864 has 72 divisors (see below), whose sum is σ = 35408880. Its totient is φ = 4040640.

The previous prime is 12591857. The next prime is 12591893. The reversal of 12591864 is 46819521.

12591864 is a `hidden beast` number, since 1 + 2 + 591 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206394 + ... + 206454.

It is an arithmetic number, because the mean of its divisors is an integer number (491790).

Almost surely, 2^12591864 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 12591864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704440).

12591864 is an abundant number, since it is smaller than the sum of its proper divisors (22817016).

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

12591864 is a wasteful number, since it uses less digits than its factorization.

12591864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 113 counting only the distinct ones).

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

The square root of 12591864 is about 3548.5016556288. The cubic root of 12591864 is about 232.6465811714.

The spelling of 12591864 in words is "twelve million, five hundred ninety-one thousand, eight hundred sixty-four".