188934768 has 200 divisors, whose sum is σ = 618464880. Its totient is φ = 55157760.

The previous prime is 188934761. The next prime is 188934769. The reversal of 188934768 is 867439881.

188934768 is a `hidden beast` number, since 1 + 88 + 93 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188934761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413196 + ... + 413652.

Almost surely, 2^188934768 is an apocalyptic number.

188934768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188934768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309232440).

188934768 is an abundant number, since it is smaller than the sum of its proper divisors (429530112).

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

188934768 is a wasteful number, since it uses less digits than its factorization.

188934768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 188934768 is about 13745.3544152197. The cubic root of 188934768 is about 573.8133237810.

The spelling of 188934768 in words is "one hundred eighty-eight million, nine hundred thirty-four thousand, seven hundred sixty-eight".