11636640 has 72 divisors (see below), whose sum is σ = 39714948. Its totient is φ = 3102720.

The previous prime is 11636623. The next prime is 11636641. The reversal of 11636640 is 4663611.

11636640 is a `hidden beast` number, since 1 + 16 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 266256 = 3372^2 + 516^2 .

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

It is a super-2 number, since 2×11636640² = 270822780979200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11636641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2601 + ... + 5480.

Almost surely, 2^11636640 is an apocalyptic number.

11636640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11636640 is an abundant number, since it is smaller than the sum of its proper divisors (28078308).

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

11636640 is a wasteful number, since it uses less digits than its factorization.

11636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 11636640 is about 3411.2519695854. The cubic root of 11636640 is about 226.6083279313.

The spelling of 11636640 in words is "eleven million, six hundred thirty-six thousand, six hundred forty".