116116920 has 96 divisors (see below), whose sum is σ = 386633520. Its totient is φ = 30205440.

The previous prime is 116116909. The next prime is 116116921. The reversal of 116116920 is 29611611.

It is a super-2 number, since 2×116116920² = 26966278220572800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116116921) 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 23 ways as a sum of consecutive naturals, for example, 10827 + ... + 18693.

Almost surely, 2^116116920 is an apocalyptic number.

116116920 is a gapful number since it is divisible by the number (10) 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 116116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193316760).

116116920 is an abundant number, since it is smaller than the sum of its proper divisors (270516600).

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

116116920 is a wasteful number, since it uses less digits than its factorization.

116116920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116116920 is about 10775.7561219619. The cubic root of 116116920 is about 487.8636970399.

It can be divided in two parts, 1161 and 16920, that added together give a palindrome (18081).

The spelling of 116116920 in words is "one hundred sixteen million, one hundred sixteen thousand, nine hundred twenty".