18900768 has 96 divisors (see below), whose sum is σ = 52254720. Its totient is φ = 5976320.

The previous prime is 18900737. The next prime is 18900781. The reversal of 18900768 is 86700981.

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

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, 266173 + ... + 266243.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^18900768 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 18900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127360).

18900768 is an abundant number, since it is smaller than the sum of its proper divisors (33353952).

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

18900768 is a wasteful number, since it uses less digits than its factorization.

18900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 18900768 is about 4347.5013513511. The cubic root of 18900768 is about 266.3748084648.

The spelling of 18900768 in words is "eighteen million, nine hundred thousand, seven hundred sixty-eight".