116916000 has 96 divisors (see below), whose sum is σ = 383056128. Its totient is φ = 31174400.

The previous prime is 116915989. The next prime is 116916013. The reversal of 116916000 is 619611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7129 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (3990168).

Almost surely, 2^116916000 is an apocalyptic number.

116916000 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 116916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191528064).

116916000 is an abundant number, since it is smaller than the sum of its proper divisors (266140128).

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

116916000 is an equidigital number, since it uses as much as digits as its factorization.

116916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 116916000 is about 10812.7702278371. The cubic root of 116916000 is about 488.9802476956.

The spelling of 116916000 in words is "one hundred sixteen million, nine hundred sixteen thousand".