117118400 has 84 divisors (see below), whose sum is σ = 329385168. Its totient is φ = 40151040.

The previous prime is 117118387. The next prime is 117118453. The reversal of 117118400 is 4811711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5972 + ... + 16428.

It is an arithmetic number, because the mean of its divisors is an integer number (3921252).

Almost surely, 2^117118400 is an apocalyptic number.

117118400 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 117118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164692584).

117118400 is an abundant number, since it is smaller than the sum of its proper divisors (212266768).

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

117118400 is a wasteful number, since it uses less digits than its factorization.

117118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 23.

The square root of 117118400 is about 10822.1254843954. The cubic root of 117118400 is about 489.2622522868.

The spelling of 117118400 in words is "one hundred seventeen million, one hundred eighteen thousand, four hundred".