985279680 has 448 divisors, whose sum is σ = 4336450560. Its totient is φ = 204595200.

The previous prime is 985279679. The next prime is 985279717. The reversal of 985279680 is 86972589.

It is a happy number.

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664540 + ... + 666020.

Almost surely, 2^985279680 is an apocalyptic number.

985279680 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 985279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

985279680 is an abundant number, since it is smaller than the sum of its proper divisors (3351170880).

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

985279680 is a wasteful number, since it uses less digits than its factorization.

985279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 985279680 is about 31389.1650096016. The cubic root of 985279680 is about 995.0689513928.

The spelling of 985279680 in words is "nine hundred eighty-five million, two hundred seventy-nine thousand, six hundred eighty".