984716040 has 512 divisors, whose sum is σ = 3981312000. Its totient is φ = 188697600.

The previous prime is 984716003. The next prime is 984716081. The reversal of 984716040 is 40617489.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 984716040.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12464721 + ... + 12464799.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2^984716040 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 984716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990656000).

984716040 is an abundant number, since it is smaller than the sum of its proper divisors (2996595960).

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

984716040 is a wasteful number, since it uses less digits than its factorization.

984716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 984716040 is about 31380.1854679031. The cubic root of 984716040 is about 994.8791685126.

The spelling of 984716040 in words is "nine hundred eighty-four million, seven hundred sixteen thousand, forty".