985711680 has 280 divisors, whose sum is σ = 3714265368. Its totient is φ = 247283712.

The previous prime is 985711669. The next prime is 985711687. The reversal of 985711680 is 86117589.

It can be written as a sum of positive squares in 4 ways, for example, as 339738624 + 645973056 = 18432^2 + 25416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985711687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439522 + ... + 441758.

Almost surely, 2^985711680 is an apocalyptic number.

985711680 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 985711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857132684).

985711680 is an abundant number, since it is smaller than the sum of its proper divisors (2728553688).

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

985711680 is a wasteful number, since it uses less digits than its factorization.

985711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 985711680 is about 31396.0456108727. The cubic root of 985711680 is about 995.2143608588.

The spelling of 985711680 in words is "nine hundred eighty-five million, seven hundred eleven thousand, six hundred eighty".