18660768 has 72 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 5330304.

The previous prime is 18660749. The next prime is 18660769. The reversal of 18660768 is 86706681.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18660769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721 + ... + 6687.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^18660768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

18660768 is an abundant number, since it is smaller than the sum of its proper divisors (38335584).

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

18660768 is a wasteful number, since it uses less digits than its factorization.

18660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 18660768 is about 4319.8111069814. The cubic root of 18660768 is about 265.2425357588.

The spelling of 18660768 in words is "eighteen million, six hundred sixty thousand, seven hundred sixty-eight".