984847680 has 224 divisors, whose sum is σ = 3587374080. Its totient is φ = 254085120.

The previous prime is 984847679. The next prime is 984847681. The reversal of 984847680 is 86748489.

984847680 is a `hidden beast` number, since 98 + 4 + 8 + 476 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (984847679) and next prime (984847681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984847681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266002 + ... + 269678.

Almost surely, 2^984847680 is an apocalyptic number.

984847680 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 984847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793687040).

984847680 is an abundant number, since it is smaller than the sum of its proper divisors (2602526400).

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

984847680 is a wasteful number, since it uses less digits than its factorization.

984847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 984847680 is about 31382.2828997509. The cubic root of 984847680 is about 994.9234994171.

The spelling of 984847680 in words is "nine hundred eighty-four million, eight hundred forty-seven thousand, six hundred eighty".