18696960 has 144 divisors (see below), whose sum is σ = 66470880. Its totient is φ = 4976640.

The previous prime is 18696949. The next prime is 18696983. The reversal of 18696960 is 6969681.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34290 + ... + 34830.

Almost surely, 2^18696960 is an apocalyptic number.

18696960 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 18696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33235440).

18696960 is an abundant number, since it is smaller than the sum of its proper divisors (47773920).

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

18696960 is an equidigital number, since it uses as much as digits as its factorization.

18696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 18696960 is about 4323.9981498608. The cubic root of 18696960 is about 265.4139016684.

The spelling of 18696960 in words is "eighteen million, six hundred ninety-six thousand, nine hundred sixty".