99897600 has 324 divisors, whose sum is σ = 370806128. Its totient is φ = 23654400.

The previous prime is 99897599. The next prime is 99897601. The reversal of 99897600 is 679899.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99897599) and next prime (99897601).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99897600.

It is not an unprimeable number, because it can be changed into a prime (99897601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2323179 + ... + 2323221.

Almost surely, 2^99897600 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 99897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185403064).

99897600 is an abundant number, since it is smaller than the sum of its proper divisors (270908528).

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

99897600 is a wasteful number, since it uses less digits than its factorization.

99897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 99897600 is about 9994.8786886085. The cubic root of 99897600 is about 464.0003963532. Note that the first 3 decimals are identical.

The spelling of 99897600 in words is "ninety-nine million, eight hundred ninety-seven thousand, six hundred".