985824 has 96 divisors (see below), whose sum is σ = 3306240. Its totient is φ = 279936.

The previous prime is 985819. The next prime is 985867. The reversal of 985824 is 428589.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 985824.

It is an unprimeable number.

985824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5967 + ... + 6129.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2⁹⁸⁵⁸²⁴ 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 985824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653120).

985824 is an abundant number, since it is smaller than the sum of its proper divisors (2320416).

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

985824 is a wasteful number, since it uses less digits than its factorization.

985824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 985824 is about 992.8867004850. The cubic root of 985824 is about 99.5252160361.

The spelling of 985824 in words is "nine hundred eighty-five thousand, eight hundred twenty-four".