985642560 has 448 divisors, whose sum is σ = 4077004800. Its totient is φ = 219469824.

The previous prime is 985642549. The next prime is 985642571. The reversal of 985642560 is 65246589.

985642560 is a `hidden beast` number, since 9 + 8 + 564 + 25 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (985642549) and next prime (985642571).

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 2600451 + ... + 2600829.

Almost surely, 2^985642560 is an apocalyptic number.

985642560 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 985642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038502400).

985642560 is an abundant number, since it is smaller than the sum of its proper divisors (3091362240).

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

985642560 is a wasteful number, since it uses less digits than its factorization.

985642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 985642560 is about 31394.9448160050. The cubic root of 985642560 is about 995.1910981996.

It can be divided in two parts, 98564 and 2560, that added together give a square (101124 = 318²).

The spelling of 985642560 in words is "nine hundred eighty-five million, six hundred forty-two thousand, five hundred sixty".