18808320 has 160 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 4792320.

The previous prime is 18808303. The next prime is 18808333. The reversal of 18808320 is 2380881.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238041 + ... + 238119.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^18808320 is an apocalyptic number.

18808320 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 18808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

18808320 is an abundant number, since it is smaller than the sum of its proper divisors (44044800).

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

18808320 is an equidigital number, since it uses as much as digits as its factorization.

18808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18808320 is about 4336.8560040656. The cubic root of 18808320 is about 265.9397983119.

The spelling of 18808320 in words is "eighteen million, eight hundred eight thousand, three hundred twenty".