117600 has 108 divisors (see below), whose sum is σ = 445284. Its totient is φ = 26880.

The previous prime is 117577. The next prime is 117617. The reversal of 117600 is 6711.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 117600.

It is a congruent number.

It is an unprimeable number.

117600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16797 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

2¹¹⁷⁶⁰⁰ is an apocalyptic number.

117600 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 117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642).

117600 is an abundant number, since it is smaller than the sum of its proper divisors (327684).

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

117600 is a wasteful number, since it uses less digits than its factorization.

117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 117600 is about 342.9285639896. The cubic root of 117600 is about 48.9931963343.

Subtracting from 117600 its reverse (6711), we obtain a square (110889 = 333²).

It can be divided in two parts, 117 and 600, that added together give a palindrome (717).

The spelling of 117600 in words is "one hundred seventeen thousand, six hundred".