985561920 has 672 divisors, whose sum is σ = 4260372480. Its totient is φ = 204042240.

The previous prime is 985561919. The next prime is 985561957. The reversal of 985561920 is 29165589.

985561920 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11874199 + ... + 11874281.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2^985561920 is an apocalyptic number.

985561920 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 985561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130186240).

985561920 is an abundant number, since it is smaller than the sum of its proper divisors (3274810560).

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

985561920 is a wasteful number, since it uses less digits than its factorization.

985561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 985561920 is about 31393.6605065418. The cubic root of 985561920 is about 995.1639570560.

The spelling of 985561920 in words is "nine hundred eighty-five million, five hundred sixty-one thousand, nine hundred twenty".