985688080 has 160 divisors (see below), whose sum is σ = 2633581440. Its totient is φ = 340070400.

The previous prime is 985688071. The next prime is 985688107. The reversal of 985688080 is 80886589.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639780 + ... + 1640380.

It is an arithmetic number, because the mean of its divisors is an integer number (16459884).

Almost surely, 2^985688080 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 985688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316790720).

985688080 is an abundant number, since it is smaller than the sum of its proper divisors (1647893360).

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

985688080 is a wasteful number, since it uses less digits than its factorization.

985688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The square root of 985688080 is about 31395.6697651125. The cubic root of 985688080 is about 995.2064182907.

The spelling of 985688080 in words is "nine hundred eighty-five million, six hundred eighty-eight thousand, eighty".