12524640 has 96 divisors (see below), whose sum is σ = 40007520. Its totient is φ = 3293184.

The previous prime is 12524621. The next prime is 12524641. The reversal of 12524640 is 4642521.

12524640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12524640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12524641) 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, 46426 + ... + 46694.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 2^12524640 is an apocalyptic number.

12524640 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 12524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003760).

12524640 is an abundant number, since it is smaller than the sum of its proper divisors (27482880).

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

12524640 is a wasteful number, since it uses less digits than its factorization.

12524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12524640 is about 3539.0168126190. The cubic root of 12524640 is about 232.2318332582.

The spelling of 12524640 in words is "twelve million, five hundred twenty-four thousand, six hundred forty".