11924640 has 324 divisors, whose sum is σ = 51257934. Its totient is φ = 2515968.

The previous prime is 11924611. The next prime is 11924641. The reversal of 11924640 is 4642911.

11924640 is a `hidden beast` number, since 1 + 19 + 2 + 4 + 640 = 666.

11924640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5143824 + 6780816 = 2268^2 + 2604^2 .

It is not an unprimeable number, because it can be changed into a prime (11924641) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 917274 + ... + 917286.

Almost surely, 2^11924640 is an apocalyptic number.

11924640 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 11924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628967).

11924640 is an abundant number, since it is smaller than the sum of its proper divisors (39333294).

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

11924640 is a wasteful number, since it uses less digits than its factorization.

11924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11924640 is about 3453.2072049039. The cubic root of 11924640 is about 228.4625880618.

It can be divided in two parts, 1192 and 4640, that added together give a cube (5832 = 18³).

The spelling of 11924640 in words is "eleven million, nine hundred twenty-four thousand, six hundred forty".