117365664 has 96 divisors (see below), whose sum is σ = 334454400. Its totient is φ = 35822592.

The previous prime is 117365663. The next prime is 117365669. The reversal of 117365664 is 466563711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (117365663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195637 + ... + 196235.

It is an arithmetic number, because the mean of its divisors is an integer number (3483900).

Almost surely, 2^117365664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167227200).

117365664 is an abundant number, since it is smaller than the sum of its proper divisors (217088736).

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

117365664 is a wasteful number, since it uses less digits than its factorization.

117365664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 117365664 is about 10833.5434646287. The cubic root of 117365664 is about 489.6063254768.

The spelling of 117365664 in words is "one hundred seventeen million, three hundred sixty-five thousand, six hundred sixty-four".