11638560 has 48 divisors (see below), whose sum is σ = 36662976. Its totient is φ = 3103488.

The previous prime is 11638559. The next prime is 11638573. The reversal of 11638560 is 6583611.

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, 11644 + ... + 12603.

It is an arithmetic number, because the mean of its divisors is an integer number (763812).

Almost surely, 2^11638560 is an apocalyptic number.

11638560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638560 is an abundant number, since it is smaller than the sum of its proper divisors (25024416).

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

11638560 is a wasteful number, since it uses less digits than its factorization.

11638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24265 (or 24257 counting only the distinct ones).

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

The square root of 11638560 is about 3411.5333795817. The cubic root of 11638560 is about 226.6207904079.

The spelling of 11638560 in words is "eleven million, six hundred thirty-eight thousand, five hundred sixty".