11687920 has 20 divisors (see below), whose sum is σ = 27174600. Its totient is φ = 4675136.

The previous prime is 11687917. The next prime is 11687939. The reversal of 11687920 is 2978611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72970 + ... + 73129.

It is an arithmetic number, because the mean of its divisors is an integer number (1358730).

Almost surely, 2^11687920 is an apocalyptic number.

11687920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11687920 is an abundant number, since it is smaller than the sum of its proper divisors (15486680).

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

11687920 is a wasteful number, since it uses less digits than its factorization.

11687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146112 (or 146106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11687920 is about 3418.7600091261. The cubic root of 11687920 is about 226.9407104499.

The spelling of 11687920 in words is "eleven million, six hundred eighty-seven thousand, nine hundred twenty".