985899600 has 720 divisors, whose sum is σ = 4312045440. Its totient is φ = 215550720.

The previous prime is 985899599. The next prime is 985899619. The reversal of 985899600 is 6998589.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 42865189 + ... + 42865211.

It is an arithmetic number, because the mean of its divisors is an integer number (5988952).

Almost surely, 2^985899600 is an apocalyptic number.

985899600 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 985899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156022720).

985899600 is an abundant number, since it is smaller than the sum of its proper divisors (3326145840).

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

985899600 is a wasteful number, since it uses less digits than its factorization.

985899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 985899600 is about 31399.0382018303. The cubic root of 985899600 is about 995.2776007165.

The spelling of 985899600 in words is "nine hundred eighty-five million, eight hundred ninety-nine thousand, six hundred".