188493984 has 324 divisors, whose sum is σ = 675876474. Its totient is φ = 49641984.

The previous prime is 188493979. The next prime is 188494067. The reversal of 188493984 is 489394881.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 63680400 = 11172^2 + 7980^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 188493984.

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 53 ways as a sum of consecutive naturals, for example, 5094414 + ... + 5094450.

Almost surely, 2^188493984 is an apocalyptic number.

188493984 is a gapful number since it is divisible by the number (14) 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 188493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337938237).

188493984 is an abundant number, since it is smaller than the sum of its proper divisors (487382490).

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

188493984 is a wasteful number, since it uses less digits than its factorization.

188493984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 188493984 is about 13729.3111262000. The cubic root of 188493984 is about 573.3667416384.

The spelling of 188493984 in words is "one hundred eighty-eight million, four hundred ninety-three thousand, nine hundred eighty-four".