18772768 has 48 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 7854336.

The previous prime is 18772757. The next prime is 18772771. The reversal of 18772768 is 86727781.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8658 + ... + 10606.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^18772768 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 18772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

18772768 is an abundant number, since it is smaller than the sum of its proper divisors (24470432).

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

18772768 is a wasteful number, since it uses less digits than its factorization.

18772768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2001 counting only the distinct ones).

The product of its digits is 263424, while the sum is 46.

The square root of 18772768 is about 4332.7552434911. The cubic root of 18772768 is about 265.7721304014.

The spelling of 18772768 in words is "eighteen million, seven hundred seventy-two thousand, seven hundred sixty-eight".