984991968 has 96 divisors (see below), whose sum is σ = 3041932320. Its totient is φ = 309012480.

The previous prime is 984991967. The next prime is 984991999. The reversal of 984991968 is 869199489.

984991968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984991967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18843 + ... + 48218.

It is an arithmetic number, because the mean of its divisors is an integer number (31686795).

Almost surely, 2^984991968 is an apocalyptic number.

It is an amenable number.

984991968 is an abundant number, since it is smaller than the sum of its proper divisors (2056940352).

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

984991968 is a wasteful number, since it uses less digits than its factorization.

984991968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67097 (or 67083 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 984991968 is about 31384.5816922896. The cubic root of 984991968 is about 994.9720851069.

The spelling of 984991968 in words is "nine hundred eighty-four million, nine hundred ninety-one thousand, nine hundred sixty-eight".