188545968 has 300 divisors, whose sum is σ = 640250688. Its totient is φ = 53187840.

The previous prime is 188545961. The next prime is 188545991. The reversal of 188545968 is 869545881.

It is a happy number.

188545968 is a `hidden beast` number, since 1 + 8 + 8 + 545 + 96 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (188545961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6082113 + ... + 6082143.

Almost surely, 2^188545968 is an apocalyptic number.

188545968 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 188545968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320125344).

188545968 is an abundant number, since it is smaller than the sum of its proper divisors (451704720).

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

188545968 is a wasteful number, since it uses less digits than its factorization.

188545968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 188545968 is about 13731.2041715212. The cubic root of 188545968 is about 573.4194456318.

The spelling of 188545968 in words is "one hundred eighty-eight million, five hundred forty-five thousand, nine hundred sixty-eight".