11686920 has 64 divisors (see below), whose sum is σ = 40072320. Its totient is φ = 2671104.

The previous prime is 11686901. The next prime is 11686933. The reversal of 11686920 is 2968611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (626130).

Almost surely, 2^11686920 is an apocalyptic number.

11686920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686920 is an abundant number, since it is smaller than the sum of its proper divisors (28385400).

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

11686920 is a wasteful number, since it uses less digits than its factorization.

11686920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 11686920 is about 3418.6137541407. The cubic root of 11686920 is about 226.9342380356.

The spelling of 11686920 in words is "eleven million, six hundred eighty-six thousand, nine hundred twenty".