117861800 has 96 divisors (see below), whose sum is σ = 324086400. Its totient is φ = 39002880.

The previous prime is 117861791. The next prime is 117861803. The reversal of 117861800 is 8168711.

It is not an unprimeable number, because it can be changed into a prime (117861803) 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 23 ways as a sum of consecutive naturals, for example, 39149 + ... + 42051.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2^117861800 is an apocalyptic number.

117861800 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 117861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

117861800 is an abundant number, since it is smaller than the sum of its proper divisors (206224600).

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

117861800 is a wasteful number, since it uses less digits than its factorization.

117861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 117861800 is about 10856.4174569699. The cubic root of 117861800 is about 490.2952545143.

The spelling of 117861800 in words is "one hundred seventeen million, eight hundred sixty-one thousand, eight hundred".