117516800 has 60 divisors (see below), whose sum is σ = 291188766. Its totient is φ = 47001600.

The previous prime is 117516799. The next prime is 117516803. The reversal of 117516800 is 8615711.

It can be written as a sum of positive squares in 3 ways, for example, as 94322944 + 23193856 = 9712^2 + 4816^2 .

It is not an unprimeable number, because it can be changed into a prime (117516803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8210 + ... + 17390.

Almost surely, 2^117516800 is an apocalyptic number.

117516800 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 117516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145594383).

117516800 is an abundant number, since it is smaller than the sum of its proper divisors (173671966).

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

117516800 is an frugal number, since it uses more digits than its factorization.

117516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 117516800 is about 10840.5165928566. The cubic root of 117516800 is about 489.8163965739.

The spelling of 117516800 in words is "one hundred seventeen million, five hundred sixteen thousand, eight hundred".