117209600 has 60 divisors (see below), whose sum is σ = 290427654. Its totient is φ = 46878720.

The previous prime is 117209597. The next prime is 117209621. The reversal of 117209600 is 6902711.

It can be written as a sum of positive squares in 3 ways, for example, as 63744256 + 53465344 = 7984^2 + 7312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117209600.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8222 + ... + 17378.

Almost surely, 2^117209600 is an apocalyptic number.

117209600 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 117209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145213827).

117209600 is an abundant number, since it is smaller than the sum of its proper divisors (173218054).

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

117209600 is an frugal number, since it uses more digits than its factorization.

117209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 117209600 is about 10826.3382544607. The cubic root of 117209600 is about 489.3892153725.

The spelling of 117209600 in words is "one hundred seventeen million, two hundred nine thousand, six hundred".