11711920 has 40 divisors (see below), whose sum is σ = 29707920. Its totient is φ = 4258560.

The previous prime is 11711879. The next prime is 11711951. The reversal of 11711920 is 2911711.

11711920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11711891 and 11711900.

It is a congruent number.

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, 5775 + ... + 7534.

It is an arithmetic number, because the mean of its divisors is an integer number (742698).

Almost surely, 2^11711920 is an apocalyptic number.

11711920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11711920 is an abundant number, since it is smaller than the sum of its proper divisors (17996000).

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

11711920 is a wasteful number, since it uses less digits than its factorization.

11711920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 22.

The square root of 11711920 is about 3422.2682536587. The cubic root of 11711920 is about 227.0959377642.

The spelling of 11711920 in words is "eleven million, seven hundred eleven thousand, nine hundred twenty".