99884400 has 480 divisors, whose sum is σ = 425115648. Its totient is φ = 19430400.

The previous prime is 99884363. The next prime is 99884413. The reversal of 99884400 is 448899.

99884400 is a nontrivial binomial coefficient, being equal to C(50, 7).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125177 + ... + 2125223.

Almost surely, 2^99884400 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 99884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212557824).

99884400 is an abundant number, since it is smaller than the sum of its proper divisors (325231248).

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

99884400 is a wasteful number, since it uses less digits than its factorization.

99884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 99884400 is about 9994.2183286138. The cubic root of 99884400 is about 463.9799585081.

The spelling of 99884400 in words is "ninety-nine million, eight hundred eighty-four thousand, four hundred".