985780224 has 468 divisors, whose sum is σ = 3568884228. Its totient is φ = 259522560.

The previous prime is 985780219. The next prime is 985780321. The reversal of 985780224 is 422087589.

It can be written as a sum of positive squares in 2 ways, for example, as 446054400 + 539725824 = 21120^2 + 23232^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a self number, because there is not a number n which added to its sum of digits gives 985780224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57987064 + ... + 57987080.

It is an arithmetic number, because the mean of its divisors is an integer number (7625821).

Almost surely, 2^985780224 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 985780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784442114).

985780224 is an abundant number, since it is smaller than the sum of its proper divisors (2583104004).

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

985780224 is a wasteful number, since it uses less digits than its factorization.

985780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 985780224 is about 31397.1371943367. The cubic root of 985780224 is about 995.2374285886.

Subtracting from 985780224 its product of nonzero digits (322560), we obtain a square (985457664 = 31392²).

The spelling of 985780224 in words is "nine hundred eighty-five million, seven hundred eighty thousand, two hundred twenty-four".