985874560 has 128 divisors (see below), whose sum is σ = 2593166400. Its totient is φ = 355430400.

The previous prime is 985874551. The next prime is 985874569. The reversal of 985874560 is 65478589.

It is an interprime number because it is at equal distance from previous prime (985874551) and next prime (985874569).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 985874498 and 985874507.

It is not an unprimeable number, because it can be changed into a prime (985874569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921706 + ... + 922774.

Almost surely, 2^985874560 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 985874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296583200).

985874560 is an abundant number, since it is smaller than the sum of its proper divisors (1607291840).

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

985874560 is a wasteful number, since it uses less digits than its factorization.

985874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 985874560 is about 31398.6394609703. The cubic root of 985874560 is about 995.2691745840.

The spelling of 985874560 in words is "nine hundred eighty-five million, eight hundred seventy-four thousand, five hundred sixty".