116192000 has 72 divisors (see below), whose sum is σ = 289528512. Its totient is φ = 46464000.

The previous prime is 116191981. The next prime is 116192023. The reversal of 116192000 is 291611.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30185 + ... + 33815.

Almost surely, 2^116192000 is an apocalyptic number.

116192000 is a gapful number since it is divisible by the number (10) 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 116192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764256).

116192000 is an abundant number, since it is smaller than the sum of its proper divisors (173336512).

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

116192000 is an frugal number, since it uses more digits than its factorization.

116192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 116192000 is about 10779.2393052571. The cubic root of 116192000 is about 487.9688235928.

The spelling of 116192000 in words is "one hundred sixteen million, one hundred ninety-two thousand".