11188920 has 32 divisors (see below), whose sum is σ = 33567120. Its totient is φ = 2983680.

The previous prime is 11188913. The next prime is 11188939. The reversal of 11188920 is 2988111.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 46501 + ... + 46740.

Almost surely, 2^11188920 is an apocalyptic number.

11188920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11188920 is an abundant number, since it is smaller than the sum of its proper divisors (22378200).

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

11188920 is a wasteful number, since it uses less digits than its factorization.

11188920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93255 (or 93251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11188920 is about 3344.9843048959. The cubic root of 11188920 is about 223.6639838737.

The spelling of 11188920 in words is "eleven million, one hundred eighty-eight thousand, nine hundred twenty".