117282816 has 240 divisors, whose sum is σ = 404323920. Its totient is φ = 33177600.

The previous prime is 117282811. The next prime is 117282821. The reversal of 117282816 is 618282711.

It is an interprime number because it is at equal distance from previous prime (117282811) and next prime (117282821).

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (117282811) 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, 1161166 + ... + 1161266.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 2^117282816 is an apocalyptic number.

117282816 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 117282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202161960).

117282816 is an abundant number, since it is smaller than the sum of its proper divisors (287041104).

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

117282816 is an equidigital number, since it uses as much as digits as its factorization.

117282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

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

The square root of 117282816 is about 10829.7191099308. The cubic root of 117282816 is about 489.4910945776.

It can be divided in two parts, 11 and 7282816, that added together give a palindrome (7282827).

The spelling of 117282816 in words is "one hundred seventeen million, two hundred eighty-two thousand, eight hundred sixteen".