985524768 has 72 divisors (see below), whose sum is σ = 2834149500. Its totient is φ = 324808704.

The previous prime is 985524739. The next prime is 985524773. The reversal of 985524768 is 867425589.

It can be written as a sum of positive squares in 2 ways, for example, as 749226384 + 236298384 = 27372^2 + 15372^2 .

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

It is a congruent number.

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, 6408 + ... + 44856.

Almost surely, 2^985524768 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 985524768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417074750).

985524768 is an abundant number, since it is smaller than the sum of its proper divisors (1848624732).

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

985524768 is a wasteful number, since it uses less digits than its factorization.

985524768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38554 (or 38543 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 985524768 is about 31393.0687891452. The cubic root of 985524768 is about 995.1514522452.

The spelling of 985524768 in words is "nine hundred eighty-five million, five hundred twenty-four thousand, seven hundred sixty-eight".