985932000 has 480 divisors, whose sum is σ = 3852969120. Its totient is φ = 246067200.

The previous prime is 985931981. The next prime is 985932011. The reversal of 985932000 is 239589.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 5507911 + ... + 5508089.

It is an arithmetic number, because the mean of its divisors is an integer number (8027019).

Almost surely, 2^985932000 is an apocalyptic number.

985932000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926484560).

985932000 is an abundant number, since it is smaller than the sum of its proper divisors (2867037120).

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

985932000 is a wasteful number, since it uses less digits than its factorization.

985932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 985932000 is about 31399.5541369619. The cubic root of 985932000 is about 995.2885033280.

The spelling of 985932000 in words is "nine hundred eighty-five million, nine hundred thirty-two thousand".