99993600 has 432 divisors, whose sum is σ = 422472960. Its totient is φ = 22118400.

The previous prime is 99993583. The next prime is 99993601. The reversal of 99993600 is 639999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99993601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225585 + ... + 3225615.

Almost surely, 2^99993600 is an apocalyptic number.

99993600 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 99993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

99993600 is an abundant number, since it is smaller than the sum of its proper divisors (322479360).

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

99993600 is a wasteful number, since it uses less digits than its factorization.

99993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 99993600 is about 9999.6799948798. The cubic root of 99993600 is about 464.1489810938.

The spelling of 99993600 in words is "ninety-nine million, nine hundred ninety-three thousand, six hundred".