984446640 has 120 divisors (see below), whose sum is σ = 3315174720. Its totient is φ = 261798912.

The previous prime is 984446623. The next prime is 984446641. The reversal of 984446640 is 46644489.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (984446641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292809 + ... + 296151.

It is an arithmetic number, because the mean of its divisors is an integer number (27626456).

Almost surely, 2^984446640 is an apocalyptic number.

984446640 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 984446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657587360).

984446640 is an abundant number, since it is smaller than the sum of its proper divisors (2330728080).

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

984446640 is a wasteful number, since it uses less digits than its factorization.

984446640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 984446640 is about 31375.8926566241. The cubic root of 984446640 is about 994.7884334233.

The spelling of 984446640 in words is "nine hundred eighty-four million, four hundred forty-six thousand, six hundred forty".