18833920 has 80 divisors (see below), whose sum is σ = 51657408. Its totient is φ = 6451200.

The previous prime is 18833897. The next prime is 18833923. The reversal of 18833920 is 2933881.

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

It is not an unprimeable number, because it can be changed into a prime (18833923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17395 + ... + 18445.

Almost surely, 2^18833920 is an apocalyptic number.

18833920 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 18833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828704).

18833920 is an abundant number, since it is smaller than the sum of its proper divisors (32823488).

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

18833920 is an equidigital number, since it uses as much as digits as its factorization.

18833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 18833920 is about 4339.8064472969. The cubic root of 18833920 is about 266.0604004772.

The spelling of 18833920 in words is "eighteen million, eight hundred thirty-three thousand, nine hundred twenty".