985776120 has 576 divisors, whose sum is σ = 4033411200. Its totient is φ = 207728640.

The previous prime is 985776119. The next prime is 985776139. The reversal of 985776120 is 21677589.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20973937 + ... + 20973983.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^985776120 is an apocalyptic number.

985776120 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 985776120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

985776120 is an abundant number, since it is smaller than the sum of its proper divisors (3047635080).

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

985776120 is a wasteful number, since it uses less digits than its factorization.

985776120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 985776120 is about 31397.0718379915. The cubic root of 985776120 is about 995.2360474626.

The spelling of 985776120 in words is "nine hundred eighty-five million, seven hundred seventy-six thousand, one hundred twenty".