116508000 has 384 divisors, whose sum is σ = 465454080. Its totient is φ = 24883200.

The previous prime is 116507893. The next prime is 116508001. The reversal of 116508000 is 805611.

It is a super-2 number, since 2×116508000² = 27148228128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116508001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595964 + ... + 1596036.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 2^116508000 is an apocalyptic number.

116508000 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 116508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232727040).

116508000 is an abundant number, since it is smaller than the sum of its proper divisors (348946080).

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

116508000 is a wasteful number, since it uses less digits than its factorization.

116508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 116508000 is about 10793.8871589433. The cubic root of 116508000 is about 488.4107891081.

The spelling of 116508000 in words is "one hundred sixteen million, five hundred eight thousand".