985194880 has 256 divisors, whose sum is σ = 2707292160. Its totient is φ = 340623360.

The previous prime is 985194853. The next prime is 985194883. The reversal of 985194880 is 88491589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985194883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7757377 + ... + 7757503.

It is an arithmetic number, because the mean of its divisors is an integer number (10575360).

Almost surely, 2^985194880 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 985194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353646080).

985194880 is an abundant number, since it is smaller than the sum of its proper divisors (1722097280).

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

985194880 is a wasteful number, since it uses less digits than its factorization.

985194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The square root of 985194880 is about 31387.8141959583. The cubic root of 985194880 is about 995.0404030630.

The spelling of 985194880 in words is "nine hundred eighty-five million, one hundred ninety-four thousand, eight hundred eighty".