116851800 has 192 divisors, whose sum is σ = 397474560. Its totient is φ = 28224000.

The previous prime is 116851733. The next prime is 116851807. The reversal of 116851800 is 8158611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116851807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 553695 + ... + 553905.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2^116851800 is an apocalyptic number.

116851800 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 116851800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

116851800 is an abundant number, since it is smaller than the sum of its proper divisors (280622760).

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

116851800 is a wasteful number, since it uses less digits than its factorization.

116851800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 116851800 is about 10809.8011082536. The cubic root of 116851800 is about 488.8907296380.

The spelling of 116851800 in words is "one hundred sixteen million, eight hundred fifty-one thousand, eight hundred".