116650800 has 240 divisors, whose sum is σ = 474810880. Its totient is φ = 26645760.

The previous prime is 116650777. The next prime is 116650801. The reversal of 116650800 is 8056611.

116650800 is a `hidden beast` number, since 1 + 1 + 6 + 650 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116650801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74829 + ... + 76371.

Almost surely, 2^116650800 is an apocalyptic number.

116650800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10800×10801.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237405440).

116650800 is an abundant number, since it is smaller than the sum of its proper divisors (358160080).

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

116650800 is a wasteful number, since it uses less digits than its factorization.

116650800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116650800 is about 10800.4999884265. The cubic root of 116650800 is about 488.6102506195.

The spelling of 116650800 in words is "one hundred sixteen million, six hundred fifty thousand, eight hundred".