117190800 has 150 divisors (see below), whose sum is σ = 420704658. Its totient is φ = 31242240.

The previous prime is 117190789. The next prime is 117190813. The reversal of 117190800 is 8091711.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 115863696 = 1152^2 + 10764^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30592 + ... + 34208.

Almost surely, 2^117190800 is an apocalyptic number.

117190800 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 117190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210352329).

117190800 is an abundant number, since it is smaller than the sum of its proper divisors (303513858).

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

117190800 is a wasteful number, since it uses less digits than its factorization.

117190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 117190800 is about 10825.4699667035. The cubic root of 117190800 is about 489.3630485477.

The spelling of 117190800 in words is "one hundred seventeen million, one hundred ninety thousand, eight hundred".