11668880 has 20 divisors (see below), whose sum is σ = 27130332. Its totient is φ = 4667520.

The previous prime is 11668871. The next prime is 11668883. The reversal of 11668880 is 8886611.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 8737936 = 1712^2 + 2956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11668883) 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, 72851 + ... + 73010.

Almost surely, 2^11668880 is an apocalyptic number.

11668880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11668880 is an abundant number, since it is smaller than the sum of its proper divisors (15461452).

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

11668880 is a wasteful number, since it uses less digits than its factorization.

11668880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145874 (or 145868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 11668880 is about 3415.9742387787. The cubic root of 11668880 is about 226.8174122191.

The spelling of 11668880 in words is "eleven million, six hundred sixty-eight thousand, eight hundred eighty".