984896640 has 384 divisors, whose sum is σ = 4188038400. Its totient is φ = 207691776.

The previous prime is 984896623. The next prime is 984896669. The reversal of 984896640 is 46698489.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523221 + ... + 525099.

It is an arithmetic number, because the mean of its divisors is an integer number (10906350).

Almost surely, 2^984896640 is an apocalyptic number.

984896640 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 984896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094019200).

984896640 is an abundant number, since it is smaller than the sum of its proper divisors (3203141760).

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

984896640 is a wasteful number, since it uses less digits than its factorization.

984896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 984896640 is about 31383.0629480298. The cubic root of 984896640 is about 994.9399861112.

The spelling of 984896640 in words is "nine hundred eighty-four million, eight hundred ninety-six thousand, six hundred forty".