11803920 has 80 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 3116032.

The previous prime is 11803907. The next prime is 11803931. The reversal of 11803920 is 2930811.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32701 + ... + 33059.

It is an arithmetic number, because the mean of its divisors is an integer number (462024).

Almost surely, 2^11803920 is an apocalyptic number.

11803920 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 11803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

11803920 is an abundant number, since it is smaller than the sum of its proper divisors (25158000).

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

11803920 is a wasteful number, since it uses less digits than its factorization.

11803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11803920 is about 3435.6833381440. The cubic root of 11803920 is about 227.6890189351.

The spelling of 11803920 in words is "eleven million, eight hundred three thousand, nine hundred twenty".