99963864 has 384 divisors, whose sum is σ = 387878400. Its totient is φ = 22394880.

The previous prime is 99963839. The next prime is 99963881. The reversal of 99963864 is 46836999.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2519424) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 99963864.

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, 1369332 + ... + 1369404.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 2^99963864 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 99963864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939200).

99963864 is an abundant number, since it is smaller than the sum of its proper divisors (287914536).

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

99963864 is a wasteful number, since it uses less digits than its factorization.

99963864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 99963864 is about 9998.1930367442. The cubic root of 99963864 is about 464.1029671407.

The spelling of 99963864 in words is "ninety-nine million, nine hundred sixty-three thousand, eight hundred sixty-four".