116624600 has 96 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 44688000.

The previous prime is 116624597. The next prime is 116624609. The reversal of 116624600 is 6426611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 116624600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116624609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610505 + ... + 610695.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^116624600 is an apocalyptic number.

116624600 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 116624600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

116624600 is an abundant number, since it is smaller than the sum of its proper divisors (166214440).

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

116624600 is a wasteful number, since it uses less digits than its factorization.

116624600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 116624600 is about 10799.2870135023. The cubic root of 116624600 is about 488.5736669381.

The spelling of 116624600 in words is "one hundred sixteen million, six hundred twenty-four thousand, six hundred".