18817968 has 80 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 5670912.

The previous prime is 18817943. The next prime is 18817973. The reversal of 18817968 is 86971881.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 32788 + ... + 33356.

It is an arithmetic number, because the mean of its divisors is an integer number (667926).

Almost surely, 2^18817968 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 18817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

18817968 is an abundant number, since it is smaller than the sum of its proper divisors (34616112).

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

18817968 is a wasteful number, since it uses less digits than its factorization.

18817968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its digits is 193536, while the sum is 48.

The square root of 18817968 is about 4337.9681879885. The cubic root of 18817968 is about 265.9852630952.

The spelling of 18817968 in words is "eighteen million, eight hundred seventeen thousand, nine hundred sixty-eight".