11131920 has 60 divisors (see below), whose sum is σ = 37387116. Its totient is φ = 2968320.

The previous prime is 11131907. The next prime is 11131921. The reversal of 11131920 is 2913111.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 8020224 = 1764^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11131893 and 11131902.

It is not an unprimeable number, because it can be changed into a prime (11131921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7011 + ... + 8450.

Almost surely, 2^11131920 is an apocalyptic number.

11131920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131920 is an abundant number, since it is smaller than the sum of its proper divisors (26255196).

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

11131920 is a wasteful number, since it uses less digits than its factorization.

11131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15471 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11131920 is about 3336.4532066253. The cubic root of 11131920 is about 223.2835313819.

The spelling of 11131920 in words is "eleven million, one hundred thirty-one thousand, nine hundred twenty".