117088416 has 120 divisors (see below), whose sum is σ = 347608800. Its totient is φ = 38662272.

The previous prime is 117088397. The next prime is 117088417. The reversal of 117088416 is 614880711.

It is a super-2 number, since 2×117088416² = 27419394322778112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117088417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515695 + ... + 515921.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^117088416 is an apocalyptic number.

117088416 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 117088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173804400).

117088416 is an abundant number, since it is smaller than the sum of its proper divisors (230520384).

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

117088416 is a wasteful number, since it uses less digits than its factorization.

117088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117088416 is about 10820.7400855949. The cubic root of 117088416 is about 489.2204959915.

The spelling of 117088416 in words is "one hundred seventeen million, eighty-eight thousand, four hundred sixteen".