842643984 has 320 divisors, whose sum is σ = 2844262400. Its totient is φ = 213373440.

The previous prime is 842643961. The next prime is 842644009. The reversal of 842643984 is 489346248.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 6634929 + ... + 6635055.

It is an arithmetic number, because the mean of its divisors is an integer number (8888320).

Almost surely, 2^842643984 is an apocalyptic number.

842643984 is a gapful number since it is divisible by the number (84) 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 842643984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422131200).

842643984 is an abundant number, since it is smaller than the sum of its proper divisors (2001618416).

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

842643984 is a wasteful number, since it uses less digits than its factorization.

842643984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 842643984 is about 29028.3307132877. The cubic root of 842643984 is about 944.5277201136.

The spelling of 842643984 in words is "eight hundred forty-two million, six hundred forty-three thousand, nine hundred eighty-four".