116984800 has 72 divisors (see below), whose sum is σ = 287091000. Its totient is φ = 46548480.

The previous prime is 116984797. The next prime is 116984801. The reversal of 116984800 is 8489611.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116984800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116984801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278991 + ... + 279409.

It is an arithmetic number, because the mean of its divisors is an integer number (3987375).

Almost surely, 2^116984800 is an apocalyptic number.

116984800 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 116984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143545500).

116984800 is an abundant number, since it is smaller than the sum of its proper divisors (170106200).

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

116984800 is a wasteful number, since it uses less digits than its factorization.

116984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 116984800 is about 10815.9511833218. The cubic root of 116984800 is about 489.0761434506.

The spelling of 116984800 in words is "one hundred sixteen million, nine hundred eighty-four thousand, eight hundred".