11563840 has 28 divisors (see below), whose sum is σ = 27537156. Its totient is φ = 4625408.

The previous prime is 11563829. The next prime is 11563879. The reversal of 11563840 is 4836511.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 6031936 = 2352^2 + 2456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11563799 and 11563808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17749 + ... + 18388.

Almost surely, 2^11563840 is an apocalyptic number.

11563840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11563840 is an abundant number, since it is smaller than the sum of its proper divisors (15973316).

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

11563840 is an equidigital number, since it uses as much as digits as its factorization.

11563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36154 (or 36144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11563840 is about 3400.5646589942. The cubic root of 11563840 is about 226.1347774669.

It can be divided in two parts, 11563 and 840, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 11563840 in words is "eleven million, five hundred sixty-three thousand, eight hundred forty".