99489600 has 504 divisors, whose sum is σ = 430865280. Its totient is φ = 22256640.

The previous prime is 99489587. The next prime is 99489613. The reversal of 99489600 is 698499.

It is an interprime number because it is at equal distance from previous prime (99489587) and next prime (99489613).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2116777 + ... + 2116823.

Almost surely, 2^99489600 is an apocalyptic number.

99489600 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 99489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432640).

99489600 is an abundant number, since it is smaller than the sum of its proper divisors (331375680).

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

99489600 is a wasteful number, since it uses less digits than its factorization.

99489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99489600 is about 9974.4473531119. The cubic root of 99489600 is about 463.3678470342.

The spelling of 99489600 in words is "ninety-nine million, four hundred eighty-nine thousand, six hundred".