99909600 has 288 divisors, whose sum is σ = 392474880. Its totient is φ = 21565440.

The previous prime is 99909599. The next prime is 99909613. The reversal of 99909600 is 690999.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319044 + ... + 319356.

It is an arithmetic number, because the mean of its divisors is an integer number (1362760).

Almost surely, 2^99909600 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 99909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196237440).

99909600 is an abundant number, since it is smaller than the sum of its proper divisors (292565280).

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

99909600 is a wasteful number, since it uses less digits than its factorization.

99909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 99909600 is about 9995.4789780180. The cubic root of 99909600 is about 464.0189746501.

The spelling of 99909600 in words is "ninety-nine million, nine hundred nine thousand, six hundred".