11183920 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 3987200.

The previous prime is 11183917. The next prime is 11183941. The reversal of 11183920 is 2938111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62391 + ... + 62569.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 2^11183920 is an apocalyptic number.

11183920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11183920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

11183920 is an abundant number, since it is smaller than the sum of its proper divisors (17742800).

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

11183920 is a wasteful number, since it uses less digits than its factorization.

11183920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 11183920 is about 3344.2368337186. The cubic root of 11183920 is about 223.6306626195.

The spelling of 11183920 in words is "eleven million, one hundred eighty-three thousand, nine hundred twenty".