984032640 has 384 divisors, whose sum is σ = 3623162400. Its totient is φ = 245661696.

The previous prime is 984032633. The next prime is 984032671. The reversal of 984032640 is 46230489.

It is a happy number.

984032640 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 3 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 984032595 and 984032604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7182652 + ... + 7182788.

Almost surely, 2^984032640 is an apocalyptic number.

984032640 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 984032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811581200).

984032640 is an abundant number, since it is smaller than the sum of its proper divisors (2639129760).

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

984032640 is a wasteful number, since it uses less digits than its factorization.

984032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 984032640 is about 31369.2945409998. The cubic root of 984032640 is about 994.6489641552.

The spelling of 984032640 in words is "nine hundred eighty-four million, thirty-two thousand, six hundred forty".