116168000 has 112 divisors (see below), whose sum is σ = 310097424. Its totient is φ = 42854400.

The previous prime is 116167967. The next prime is 116168077. The reversal of 116168000 is 861611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91087936 + 25080064 = 9544^2 + 5008^2 .

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, 103442 + ... + 104558.

It is an arithmetic number, because the mean of its divisors is an integer number (2768727).

Almost surely, 2^116168000 is an apocalyptic number.

116168000 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 116168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155048712).

116168000 is an abundant number, since it is smaller than the sum of its proper divisors (193929424).

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

116168000 is a wasteful number, since it uses less digits than its factorization.

116168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 116168000 is about 10778.1259966657. The cubic root of 116168000 is about 487.9352238665.

The spelling of 116168000 in words is "one hundred sixteen million, one hundred sixty-eight thousand".