12540864 has 168 divisors, whose sum is σ = 40770048. Its totient is φ = 3386880.

The previous prime is 12540811. The next prime is 12540877. The reversal of 12540864 is 46804521.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291627 + ... + 291669.

Almost surely, 2^12540864 is an apocalyptic number.

12540864 is a gapful number since it is divisible by the number (14) 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 12540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385024).

12540864 is an abundant number, since it is smaller than the sum of its proper divisors (28229184).

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

12540864 is a wasteful number, since it uses less digits than its factorization.

12540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12540864 is about 3541.3082328428. The cubic root of 12540864 is about 232.3320651097.

The spelling of 12540864 in words is "twelve million, five hundred forty thousand, eight hundred sixty-four".