116624500 has 48 divisors (see below), whose sum is σ = 260966160. Its totient is φ = 45504000.

The previous prime is 116624447. The next prime is 116624503. The reversal of 116624500 is 5426611.

It can be written as a sum of positive squares in 8 ways, for example, as 37307664 + 79316836 = 6108^2 + 8906^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116624503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17656 + ... + 23344.

It is an arithmetic number, because the mean of its divisors is an integer number (5436795).

Almost surely, 2^116624500 is an apocalyptic number.

116624500 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 116624500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130483080).

116624500 is an abundant number, since it is smaller than the sum of its proper divisors (144341660).

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

116624500 is a wasteful number, since it uses less digits than its factorization.

116624500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 116624500 is about 10799.2823835660. The cubic root of 116624500 is about 488.5735272953.

The spelling of 116624500 in words is "one hundred sixteen million, six hundred twenty-four thousand, five hundred".