117583968 has 96 divisors (see below), whose sum is σ = 330311520. Its totient is φ = 36495360.

The previous prime is 117583967. The next prime is 117583979. The reversal of 117583968 is 869385711.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117583967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177558 + ... + 178218.

It is an arithmetic number, because the mean of its divisors is an integer number (3440745).

Almost surely, 2^117583968 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 117583968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165155760).

117583968 is an abundant number, since it is smaller than the sum of its proper divisors (212727552).

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

117583968 is a wasteful number, since it uses less digits than its factorization.

117583968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 117583968 is about 10843.6141576506. The cubic root of 117583968 is about 489.9096987559.

The spelling of 117583968 in words is "one hundred seventeen million, five hundred eighty-three thousand, nine hundred sixty-eight".