981080584 has 48 divisors (see below), whose sum is σ = 2046486960. Its totient is φ = 440536800.

The previous prime is 981080579. The next prime is 981080587. The reversal of 981080584 is 485080189.

It is a super-2 number, since 2×981080584² = 1925038224603562112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 981080584.

It is not an unprimeable number, because it can be changed into a prime (981080587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74239 + ... + 86449.

It is an arithmetic number, because the mean of its divisors is an integer number (42635145).

Almost surely, 2^981080584 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 981080584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023243480).

981080584 is an abundant number, since it is smaller than the sum of its proper divisors (1065406376).

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

981080584 is a wasteful number, since it uses less digits than its factorization.

981080584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 981080584 is about 31322.2059248706. The cubic root of 981080584 is about 993.6533330334.

The spelling of 981080584 in words is "nine hundred eighty-one million, eighty thousand, five hundred eighty-four".