99786000 has 80 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 26608000.

The previous prime is 99785977. The next prime is 99786023. The reversal of 99786000 is 68799.

It is an interprime number because it is at equal distance from previous prime (99785977) and next prime (99786023).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 99786000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2316 + ... + 14315.

Almost surely, 2^99786000 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 99786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

99786000 is an abundant number, since it is smaller than the sum of its proper divisors (221943408).

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

99786000 is a wasteful number, since it uses less digits than its factorization.

99786000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16641 counting only the distinct ones).

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

The square root of 99786000 is about 9989.2942693666. The cubic root of 99786000 is about 463.8275468919.

The spelling of 99786000 in words is "ninety-nine million, seven hundred eighty-six thousand".