12536640 has 112 divisors (see below), whose sum is σ = 44256960. Its totient is φ = 3340800.

The previous prime is 12536627. The next prime is 12536647. The reversal of 12536640 is 4663521.

12536640 is a `hidden beast` number, since 12 + 5 + 3 + 6 + 640 = 666.

12536640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12536647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7915 + ... + 9365.

Almost surely, 2^12536640 is an apocalyptic number.

12536640 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 12536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

12536640 is an abundant number, since it is smaller than the sum of its proper divisors (31720320).

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

12536640 is a wasteful number, since it uses less digits than its factorization.

12536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12536640 is about 3540.7117928462. The cubic root of 12536640 is about 232.3059775704.

The spelling of 12536640 in words is "twelve million, five hundred thirty-six thousand, six hundred forty".