189616896 has 144 divisors (see below), whose sum is σ = 640998400. Its totient is φ = 54162432.

The previous prime is 189616879. The next prime is 189616909. The reversal of 189616896 is 698616981.

189616896 is a `hidden beast` number, since 18 + 9 + 616 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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

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 15 ways as a sum of consecutive naturals, for example, 46425 + ... + 50343.

Almost surely, 2^189616896 is an apocalyptic number.

189616896 is a gapful number since it is divisible by the number (16) 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 189616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320499200).

189616896 is an abundant number, since it is smaller than the sum of its proper divisors (451381504).

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

189616896 is an equidigital number, since it uses as much as digits as its factorization.

189616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3931 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 189616896 is about 13770.1450972748. The cubic root of 189616896 is about 574.5030574727.

The spelling of 189616896 in words is "one hundred eighty-nine million, six hundred sixteen thousand, eight hundred ninety-six".