992868000 has 384 divisors, whose sum is σ = 3577706496. Its totient is φ = 239616000.

The previous prime is 992867987. The next prime is 992868001. The reversal of 992868000 is 868299.

It is not an unprimeable number, because it can be changed into a prime (992868001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323922 + ... + 6324078.

It is an arithmetic number, because the mean of its divisors is an integer number (9316944).

Almost surely, 2^992868000 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 992868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788853248).

992868000 is an abundant number, since it is smaller than the sum of its proper divisors (2584838496).

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

992868000 is a wasteful number, since it uses less digits than its factorization.

992868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 992868000 is about 31509.8079968761. The cubic root of 992868000 is about 997.6169924525.

The spelling of 992868000 in words is "nine hundred ninety-two million, eight hundred sixty-eight thousand".