18918960 has 80 divisors (see below), whose sum is σ = 62112096. Its totient is φ = 4747264.

The previous prime is 18918947. The next prime is 18918961. The reversal of 18918960 is 6981981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18918961) 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, 1762 + ... + 6398.

Almost surely, 2^18918960 is an apocalyptic number.

18918960 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 18918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31056048).

18918960 is an abundant number, since it is smaller than the sum of its proper divisors (43193136).

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

18918960 is a wasteful number, since it uses less digits than its factorization.

18918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 18918960 is about 4349.5930844161. The cubic root of 18918960 is about 266.4602430288.

The spelling of 18918960 in words is "eighteen million, nine hundred eighteen thousand, nine hundred sixty".