985419960 has 256 divisors, whose sum is σ = 3608893440. Its totient is φ = 210124800.

The previous prime is 985419931. The next prime is 985419961. The reversal of 985419960 is 69914589.

985419960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985419961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2156052 + ... + 2156508.

It is an arithmetic number, because the mean of its divisors is an integer number (14097240).

Almost surely, 2^985419960 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 985419960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804446720).

985419960 is an abundant number, since it is smaller than the sum of its proper divisors (2623473480).

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

985419960 is a wasteful number, since it uses less digits than its factorization.

985419960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 985419960 is about 31391.3994590875. The cubic root of 985419960 is about 995.1161737370.

The spelling of 985419960 in words is "nine hundred eighty-five million, four hundred nineteen thousand, nine hundred sixty".