99285600 has 144 divisors (see below), whose sum is σ = 331385040. Its totient is φ = 25804800.

The previous prime is 99285587. The next prime is 99285607. The reversal of 99285600 is 658299.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99285607) 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, 97896 + ... + 98904.

It is an arithmetic number, because the mean of its divisors is an integer number (2301285).

Almost surely, 2^99285600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165692520).

99285600 is an abundant number, since it is smaller than the sum of its proper divisors (232099440).

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

99285600 is a wasteful number, since it uses less digits than its factorization.

99285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 99285600 is about 9964.2159751784. The cubic root of 99285600 is about 463.0509237155.

The spelling of 99285600 in words is "ninety-nine million, two hundred eighty-five thousand, six hundred".