11563360 has 24 divisors (see below), whose sum is σ = 27318816. Its totient is φ = 4625280.

The previous prime is 11563339. The next prime is 11563361. The reversal of 11563360 is 6336511.

It is a super-2 number, since 2×11563360² = 267422588979200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11563361) 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, 35976 + ... + 36295.

It is an arithmetic number, because the mean of its divisors is an integer number (1138284).

Almost surely, 2^11563360 is an apocalyptic number.

11563360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11563360 is an abundant number, since it is smaller than the sum of its proper divisors (15755456).

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

11563360 is an equidigital number, since it uses as much as digits as its factorization.

11563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72286 (or 72278 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 11563360 is about 3400.4940817475. The cubic root of 11563360 is about 226.1316485699.

Adding to 11563360 its reverse (6336511), we get a palindrome (17899871).

It can be divided in two parts, 11 and 563360, that multiplied together give a triangular number (6196960 = T₃₅₂₀).

The spelling of 11563360 in words is "eleven million, five hundred sixty-three thousand, three hundred sixty".