985117680 has 160 divisors (see below), whose sum is σ = 3418977600. Its totient is φ = 260702208.

The previous prime is 985117673. The next prime is 985117739. The reversal of 985117680 is 86711589.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294256 + ... + 297584.

It is an arithmetic number, because the mean of its divisors is an integer number (21368610).

Almost surely, 2^985117680 is an apocalyptic number.

985117680 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 985117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709488800).

985117680 is an abundant number, since it is smaller than the sum of its proper divisors (2433859920).

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

985117680 is a wasteful number, since it uses less digits than its factorization.

985117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3476 counting only the distinct ones).

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

The square root of 985117680 is about 31386.5843952476. The cubic root of 985117680 is about 995.0144118852.

The spelling of 985117680 in words is "nine hundred eighty-five million, one hundred seventeen thousand, six hundred eighty".