188976768 has 64 divisors (see below), whose sum is σ = 504696000. Its totient is φ = 62650368.

The previous prime is 188976677. The next prime is 188976773. The reversal of 188976768 is 867679881.

It is a tau number, because it is divible by the number of its divisors (64).

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, 75180 + ... + 77652.

It is an arithmetic number, because the mean of its divisors is an integer number (7885875).

Almost surely, 2^188976768 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 188976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252348000).

188976768 is an abundant number, since it is smaller than the sum of its proper divisors (315719232).

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

188976768 is a wasteful number, since it uses less digits than its factorization.

188976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2677 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The square root of 188976768 is about 13746.8821192298. The cubic root of 188976768 is about 573.8558399966.

The spelling of 188976768 in words is "one hundred eighty-eight million, nine hundred seventy-six thousand, seven hundred sixty-eight".