984631680 has 256 divisors, whose sum is σ = 3672000000. Its totient is φ = 248666112.

The previous prime is 984631667. The next prime is 984631691. The reversal of 984631680 is 86136489.

984631680 is a `hidden beast` number, since 9 + 8 + 4 + 631 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326821 + ... + 329819.

It is an arithmetic number, because the mean of its divisors is an integer number (14343750).

Almost surely, 2^984631680 is an apocalyptic number.

984631680 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 984631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000000).

984631680 is an abundant number, since it is smaller than the sum of its proper divisors (2687368320).

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

984631680 is a wasteful number, since it uses less digits than its factorization.

984631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 984631680 is about 31378.8412787980. The cubic root of 984631680 is about 994.8507574783.

The spelling of 984631680 in words is "nine hundred eighty-four million, six hundred thirty-one thousand, six hundred eighty".