984418080 has 96 divisors (see below), whose sum is σ = 3133033344. Its totient is φ = 259792896.

The previous prime is 984418037. The next prime is 984418087. The reversal of 984418080 is 80814489.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (984418087) 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 15 ways as a sum of consecutive naturals, for example, 35989 + ... + 57131.

It is an arithmetic number, because the mean of its divisors is an integer number (32635764).

Almost surely, 2^984418080 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 984418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566516672).

984418080 is an abundant number, since it is smaller than the sum of its proper divisors (2148615264).

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

984418080 is a wasteful number, since it uses less digits than its factorization.

984418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 984418080 is about 31375.4375268298. The cubic root of 984418080 is about 994.7788133209.

The spelling of 984418080 in words is "nine hundred eighty-four million, four hundred eighteen thousand, eighty".