99279600 has 240 divisors, whose sum is σ = 371976192. Its totient is φ = 22164480.

The previous prime is 99279599. The next prime is 99279601. The reversal of 99279600 is 697299.

It is an interprime number because it is at equal distance from previous prime (99279599) and next prime (99279601).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99279601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445089 + ... + 445311.

Almost surely, 2^99279600 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 99279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

99279600 is an abundant number, since it is smaller than the sum of its proper divisors (272696592).

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

99279600 is a wasteful number, since it uses less digits than its factorization.

99279600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 99279600 is about 9963.9148932536. The cubic root of 99279600 is about 463.0415958723.

The spelling of 99279600 in words is "ninety-nine million, two hundred seventy-nine thousand, six hundred".