985906080 has 240 divisors, whose sum is σ = 3512678400. Its totient is φ = 260402688.

The previous prime is 985906073. The next prime is 985906081. The reversal of 985906080 is 80609589.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (985906081) 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, 1645621 + ... + 1646219.

It is an arithmetic number, because the mean of its divisors is an integer number (14636160).

Almost surely, 2^985906080 is an apocalyptic number.

985906080 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 985906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756339200).

985906080 is an abundant number, since it is smaller than the sum of its proper divisors (2526772320).

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

985906080 is a wasteful number, since it uses less digits than its factorization.

985906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 985906080 is about 31399.1413895348. The cubic root of 985906080 is about 995.2797812579.

The spelling of 985906080 in words is "nine hundred eighty-five million, nine hundred six thousand, eighty".