116169120 has 96 divisors (see below), whose sum is σ = 406607040. Its totient is φ = 30977280.

The previous prime is 116169103. The next prime is 116169139. The reversal of 116169120 is 21961611.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9126 + ... + 17765.

It is an arithmetic number, because the mean of its divisors is an integer number (4235490).

Almost surely, 2^116169120 is an apocalyptic number.

116169120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116169120 is an abundant number, since it is smaller than the sum of its proper divisors (290437920).

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

116169120 is a wasteful number, since it uses less digits than its factorization.

116169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26915 (or 26901 counting only the distinct ones).

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

The square root of 116169120 is about 10778.1779536246. The cubic root of 116169120 is about 487.9367919567.

It can be divided in two parts, 11616 and 9120, that added together give a 4-th power (20736 = 12⁴).

The spelling of 116169120 in words is "one hundred sixteen million, one hundred sixty-nine thousand, one hundred twenty".