116575800 has 192 divisors, whose sum is σ = 417830400. Its totient is φ = 26572800.

The previous prime is 116575793. The next prime is 116575829. The reversal of 116575800 is 8575611.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111681 + ... + 112719.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^116575800 is an apocalyptic number.

116575800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116575800 is the 6234-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116575800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

116575800 is an abundant number, since it is smaller than the sum of its proper divisors (301254600).

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

116575800 is a wasteful number, since it uses less digits than its factorization.

116575800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 116575800 is about 10797.0273686788. The cubic root of 116575800 is about 488.5055117312.

The spelling of 116575800 in words is "one hundred sixteen million, five hundred seventy-five thousand, eight hundred".