11638980 has 36 divisors (see below), whose sum is σ = 35305452. Its totient is φ = 3103680.

The previous prime is 11638973. The next prime is 11638993. The reversal of 11638980 is 8983611.

11638980 is a `hidden beast` number, since 11 + 638 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1602756 + 10036224 = 1266^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32151 + ... + 32510.

It is an arithmetic number, because the mean of its divisors is an integer number (980707).

Almost surely, 2^11638980 is an apocalyptic number.

11638980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11638980 is an abundant number, since it is smaller than the sum of its proper divisors (23666472).

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

11638980 is a wasteful number, since it uses less digits than its factorization.

11638980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64676 (or 64671 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11638980 is about 3411.5949349241. The cubic root of 11638980 is about 226.6235163920.

The spelling of 11638980 in words is "eleven million, six hundred thirty-eight thousand, nine hundred eighty".