116806320 has 160 divisors (see below), whose sum is σ = 426133440. Its totient is φ = 29306880.

The previous prime is 116806309. The next prime is 116806331. The reversal of 116806320 is 23608611.

It is an interprime number because it is at equal distance from previous prime (116806309) and next prime (116806331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35130 + ... + 38310.

It is an arithmetic number, because the mean of its divisors is an integer number (2663334).

Almost surely, 2^116806320 is an apocalyptic number.

116806320 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 116806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213066720).

116806320 is an abundant number, since it is smaller than the sum of its proper divisors (309327120).

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

116806320 is a wasteful number, since it uses less digits than its factorization.

116806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116806320 is about 10807.6972570479. The cubic root of 116806320 is about 488.8272941990.

The spelling of 116806320 in words is "one hundred sixteen million, eight hundred six thousand, three hundred twenty".