992083968 has 162 divisors, whose sum is σ = 2968245189. Its totient is φ = 319291392.

The previous prime is 992083919. The next prime is 992083969. The reversal of 992083968 is 869380299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 991494144 + 589824 = 31488^2 + 768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22272.

It is not an unprimeable number, because it can be changed into a prime (992083969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34209778 + ... + 34209806.

Almost surely, 2^992083968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992083968

992083968 is an abundant number, since it is smaller than the sum of its proper divisors (1976161221).

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

992083968 is an frugal number, since it uses more digits than its factorization.

992083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 992083968 is about 31497.3644611736. The cubic root of 992083968 is about 997.3543292659.

The spelling of 992083968 in words is "nine hundred ninety-two million, eighty-three thousand, nine hundred sixty-eight".