116865600 has 168 divisors, whose sum is σ = 388912608. Its totient is φ = 30720000.

The previous prime is 116865589. The next prime is 116865611. The reversal of 116865600 is 6568611.

It is an interprime number because it is at equal distance from previous prime (116865589) and next prime (116865611).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465475 + ... + 465725.

It is an arithmetic number, because the mean of its divisors is an integer number (2314956).

Almost surely, 2^116865600 is an apocalyptic number.

116865600 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 116865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194456304).

116865600 is an abundant number, since it is smaller than the sum of its proper divisors (272047008).

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

116865600 is a wasteful number, since it uses less digits than its factorization.

116865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 116865600 is about 10810.4393990254. The cubic root of 116865600 is about 488.9099746033.

The spelling of 116865600 in words is "one hundred sixteen million, eight hundred sixty-five thousand, six hundred".