18965664 has 96 divisors (see below), whose sum is σ = 56206080. Its totient is φ = 6298560.

The previous prime is 18965663. The next prime is 18965669. The reversal of 18965664 is 46656981.

18965664 is a `hidden beast` number, since 1 + 89 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18965663) 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, 69849 + ... + 70119.

It is an arithmetic number, because the mean of its divisors is an integer number (585480).

Almost surely, 2^18965664 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 18965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28103040).

18965664 is an abundant number, since it is smaller than the sum of its proper divisors (37240416).

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

18965664 is an frugal number, since it uses more digits than its factorization.

18965664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 18965664 is about 4354.9585531897. The cubic root of 18965664 is about 266.6793271767.

The spelling of 18965664 in words is "eighteen million, nine hundred sixty-five thousand, six hundred sixty-four".