99864000 has 336 divisors, whose sum is σ = 381182880. Its totient is φ = 24883200.

The previous prime is 99863957. The next prime is 99864013. The reversal of 99864000 is 46899.

99864000 is a `hidden beast` number, since 9 + 9 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367964 + ... + 1368036.

Almost surely, 2^99864000 is an apocalyptic number.

99864000 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 99864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190591440).

99864000 is an abundant number, since it is smaller than the sum of its proper divisors (281318880).

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

99864000 is a wasteful number, since it uses less digits than its factorization.

99864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99864000 is about 9993.1976864265. The cubic root of 99864000 is about 463.9483692055.

The spelling of 99864000 in words is "ninety-nine million, eight hundred sixty-four thousand".