99856000 has 96 divisors (see below), whose sum is σ = 251449380. Its totient is φ = 39436800.

The previous prime is 99855983. The next prime is 99856027. The reversal of 99856000 is 65899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 67502656 + 32353344 = 8216^2 + 5688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263961 + ... + 1264039.

Almost surely, 2^99856000 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 99856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125724690).

99856000 is an abundant number, since it is smaller than the sum of its proper divisors (151593380).

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

99856000 is an frugal number, since it uses more digits than its factorization.

99856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 99856000 is about 9992.7974061321. The cubic root of 99856000 is about 463.9359800694.

The spelling of 99856000 in words is "ninety-nine million, eight hundred fifty-six thousand".