116688000 has 512 divisors, whose sum is σ = 481178880. Its totient is φ = 24576000.

The previous prime is 116687971. The next prime is 116688029. The reversal of 116688000 is 886611.

It is an interprime number because it is at equal distance from previous prime (116687971) and next prime (116688029).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6863992 + ... + 6864008.

Almost surely, 2^116688000 is an apocalyptic number.

116688000 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 116688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

116688000 is an abundant number, since it is smaller than the sum of its proper divisors (364490880).

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

116688000 is a wasteful number, since it uses less digits than its factorization.

116688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 116688000 is about 10802.2219936456. The cubic root of 116688000 is about 488.6621844526.

The spelling of 116688000 in words is "one hundred sixteen million, six hundred eighty-eight thousand".