985006080 has 216 divisors, whose sum is σ = 3435121872. Its totient is φ = 261095424.

The previous prime is 985006079. The next prime is 985006081. The reversal of 985006080 is 80600589.

985006080 is a `hidden beast` number, since 98 + 500 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (985006079) and next prime (985006081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985006081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5898157 + ... + 5898323.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342).

Almost surely, 2^985006080 is an apocalyptic number.

985006080 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 985006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717560936).

985006080 is an abundant number, since it is smaller than the sum of its proper divisors (2450115792).

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

985006080 is an equidigital number, since it uses as much as digits as its factorization.

985006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 985006080 is about 31384.8065152551. The cubic root of 985006080 is about 994.9768367460.

The spelling of 985006080 in words is "nine hundred eighty-five million, six thousand, eighty".