18905920 has 112 divisors (see below), whose sum is σ = 50694336. Its totient is φ = 6656000.

The previous prime is 18905869. The next prime is 18905923. The reversal of 18905920 is 2950981.

It is a super-2 number, since 2×18905920² = 714867622092800, which contains 22 as substring.

18905920 is a Rhonda number in base 6.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18905923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144255 + ... + 144385.

It is an arithmetic number, because the mean of its divisors is an integer number (452628).

Almost surely, 2^18905920 is an apocalyptic number.

18905920 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 18905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347168).

18905920 is an abundant number, since it is smaller than the sum of its proper divisors (31788416).

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

18905920 is a wasteful number, since it uses less digits than its factorization.

18905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 18905920 is about 4348.0938352340. The cubic root of 18905920 is about 266.3990092157.

The spelling of 18905920 in words is "eighteen million, nine hundred five thousand, nine hundred twenty".