985248 has 72 divisors (see below), whose sum is σ = 3066336. Its totient is φ = 297600.

The previous prime is 985219. The next prime is 985253. The reversal of 985248 is 842589.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 985248.

It is an unprimeable number.

985248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3013 + ... + 3323.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁹⁸⁵²⁴⁸ 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 985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168).

985248 is an abundant number, since it is smaller than the sum of its proper divisors (2081088).

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

985248 is a wasteful number, since it uses less digits than its factorization.

985248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

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

The square root of 985248 is about 992.5965947957. The cubic root of 985248 is about 99.5058286359.

The spelling of 985248 in words is "nine hundred eighty-five thousand, two hundred forty-eight".