11556640 has 24 divisors (see below), whose sum is σ = 27302940. Its totient is φ = 4622592.

The previous prime is 11556631. The next prime is 11556641. The reversal of 11556640 is 4665511.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 824464 = 3276^2 + 908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11556599 and 11556608.

It is not an unprimeable number, because it can be changed into a prime (11556641) 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, 35955 + ... + 36274.

Almost surely, 2^11556640 is an apocalyptic number.

11556640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11556640 is an abundant number, since it is smaller than the sum of its proper divisors (15746300).

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

11556640 is an equidigital number, since it uses as much as digits as its factorization.

11556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72244 (or 72236 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 11556640 is about 3399.5058464430. The cubic root of 11556640 is about 226.0878349164.

The spelling of 11556640 in words is "eleven million, five hundred fifty-six thousand, six hundred forty".