985729920 has 256 divisors, whose sum is σ = 3644974080. Its totient is φ = 221921280.

The previous prime is 985729907. The next prime is 985729939. The reversal of 985729920 is 29927589.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953724 + ... + 954756.

It is an arithmetic number, because the mean of its divisors is an integer number (14238180).

Almost surely, 2^985729920 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 985729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822487040).

985729920 is an abundant number, since it is smaller than the sum of its proper divisors (2659244160).

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

985729920 is a wasteful number, since it uses less digits than its factorization.

985729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 985729920 is about 31396.3360919710. The cubic root of 985729920 is about 995.2204994347.

The spelling of 985729920 in words is "nine hundred eighty-five million, seven hundred twenty-nine thousand, nine hundred twenty".