11563680 has 48 divisors (see below), whose sum is σ = 36427104. Its totient is φ = 3083520.

The previous prime is 11563667. The next prime is 11563693. The reversal of 11563680 is 8636511.

It is an interprime number because it is at equal distance from previous prime (11563667) and next prime (11563693).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11566 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (758898).

Almost surely, 2^11563680 is an apocalyptic number.

11563680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11563680 is an abundant number, since it is smaller than the sum of its proper divisors (24863424).

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

11563680 is a wasteful number, since it uses less digits than its factorization.

11563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24109 (or 24101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 11563680 is about 3400.5411334080. The cubic root of 11563680 is about 226.1337345109.

The spelling of 11563680 in words is "eleven million, five hundred sixty-three thousand, six hundred eighty".