116064000 has 432 divisors, whose sum is σ = 464265984. Its totient is φ = 27648000.

The previous prime is 116063971. The next prime is 116064001. The reversal of 116064000 is 460611.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (116064001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743985 + ... + 3744015.

Almost surely, 2^116064000 is an apocalyptic number.

116064000 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 116064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232132992).

116064000 is an abundant number, since it is smaller than the sum of its proper divisors (348201984).

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

116064000 is a wasteful number, since it uses less digits than its factorization.

116064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116064000 is about 10773.3003299825. The cubic root of 116064000 is about 487.7895715522.

The spelling of 116064000 in words is "one hundred sixteen million, sixty-four thousand".