99645120 has 224 divisors, whose sum is σ = 370636800. Its totient is φ = 25132032.

The previous prime is 99645113. The next prime is 99645121. The reversal of 99645120 is 2154699.

99645120 is a `hidden beast` number, since 9 + 9 + 645 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99645121) 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 31 ways as a sum of consecutive naturals, for example, 163857 + ... + 164463.

Almost surely, 2^99645120 is an apocalyptic number.

99645120 is a gapful number since it is divisible by the number (90) 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 99645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185318400).

99645120 is an abundant number, since it is smaller than the sum of its proper divisors (270991680).

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

99645120 is a wasteful number, since it uses less digits than its factorization.

99645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99645120 is about 9982.2402295276. The cubic root of 99645120 is about 463.6091635506.

The spelling of 99645120 in words is "ninety-nine million, six hundred forty-five thousand, one hundred twenty".