116352000 has 264 divisors, whose sum is σ = 423434232. Its totient is φ = 30720000.

The previous prime is 116351981. The next prime is 116352001. The reversal of 116352000 is 253611.

116352000 is a `hidden beast` number, since 11 + 635 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 115605504 = 864^2 + 10752^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116352001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151950 + ... + 1152050.

Almost surely, 2^116352000 is an apocalyptic number.

116352000 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 116352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211717116).

116352000 is an abundant number, since it is smaller than the sum of its proper divisors (307082232).

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

116352000 is a wasteful number, since it uses less digits than its factorization.

116352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 116352000 is about 10786.6584260372. The cubic root of 116352000 is about 488.1927036130.

The spelling of 116352000 in words is "one hundred sixteen million, three hundred fifty-two thousand".