99876000 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 21504000.

The previous prime is 99875957. The next prime is 99876011. The reversal of 99876000 is 67899.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99876000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435980 + ... + 2436020.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^99876000 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 99876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

99876000 is an abundant number, since it is smaller than the sum of its proper divisors (296388960).

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

99876000 is a wasteful number, since it uses less digits than its factorization.

99876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 99876000 is about 9993.7980768074. The cubic root of 99876000 is about 463.9669516692.

The spelling of 99876000 in words is "ninety-nine million, eight hundred seventy-six thousand".