117131616 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 32970240.

The previous prime is 117131563. The next prime is 117131621. The reversal of 117131616 is 616131711.

117131616 is a `hidden beast` number, since 1 + 17 + 1 + 31 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117131616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647046 + ... + 647226.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^117131616 is an apocalyptic number.

117131616 is a gapful number since it is divisible by the number (16) 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 117131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

117131616 is an abundant number, since it is smaller than the sum of its proper divisors (279133344).

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

117131616 is a wasteful number, since it uses less digits than its factorization.

117131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 117131616 is about 10822.7360681114. The cubic root of 117131616 is about 489.2806548797.

The spelling of 117131616 in words is "one hundred seventeen million, one hundred thirty-one thousand, six hundred sixteen".