18680960 has 96 divisors (see below), whose sum is σ = 47910420. Its totient is φ = 6963200.

The previous prime is 18680929. The next prime is 18680989. The reversal of 18680960 is 6908681.

It can be written as a sum of positive squares in 6 ways, for example, as 17372224 + 1308736 = 4168^2 + 1144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184910 + ... + 185010.

Almost surely, 2^18680960 is an apocalyptic number.

18680960 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 18680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955210).

18680960 is an abundant number, since it is smaller than the sum of its proper divisors (29229460).

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

18680960 is a wasteful number, since it uses less digits than its factorization.

18680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 18680960 is about 4322.1476143232. The cubic root of 18680960 is about 265.3381703845.

The spelling of 18680960 in words is "eighteen million, six hundred eighty thousand, nine hundred sixty".