11628640 has 24 divisors (see below), whose sum is σ = 27473040. Its totient is φ = 4651392.

The previous prime is 11628637. The next prime is 11628641. The reversal of 11628640 is 4682611.

It is a junction number, because it is equal to n+sod(n) for n = 11628599 and 11628608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36180 + ... + 36499.

It is an arithmetic number, because the mean of its divisors is an integer number (1144710).

Almost surely, 2^11628640 is an apocalyptic number.

11628640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628640 is an abundant number, since it is smaller than the sum of its proper divisors (15844400).

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

11628640 is an equidigital number, since it uses as much as digits as its factorization.

11628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72694 (or 72686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 11628640 is about 3410.0791779664. The cubic root of 11628640 is about 226.5563861846.

The spelling of 11628640 in words is "eleven million, six hundred twenty-eight thousand, six hundred forty".