116913120 has 96 divisors (see below), whose sum is σ = 369829152. Its totient is φ = 31045632.

The previous prime is 116913119. The next prime is 116913157. The reversal of 116913120 is 21319611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×116913120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178714 + ... + 179366.

It is an arithmetic number, because the mean of its divisors is an integer number (3852387).

Almost surely, 2^116913120 is an apocalyptic number.

116913120 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 116913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184914576).

116913120 is an abundant number, since it is smaller than the sum of its proper divisors (252916032).

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

116913120 is a wasteful number, since it uses less digits than its factorization.

116913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 116913120 is about 10812.6370511545. The cubic root of 116913120 is about 488.9762326344.

The spelling of 116913120 in words is "one hundred sixteen million, nine hundred thirteen thousand, one hundred twenty".