992881120 has 288 divisors, whose sum is σ = 3087110880. Its totient is φ = 298045440.

The previous prime is 992881117. The next prime is 992881121. The reversal of 992881120 is 21188299.

992881120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992881121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500762 + ... + 2501158.

It is an arithmetic number, because the mean of its divisors is an integer number (10719135).

Almost surely, 2^992881120 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 992881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543555440).

992881120 is an abundant number, since it is smaller than the sum of its proper divisors (2094229760).

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

992881120 is a wasteful number, since it uses less digits than its factorization.

992881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 992881120 is about 31510.0161853338. The cubic root of 992881120 is about 997.6213866846.

The spelling of 992881120 in words is "nine hundred ninety-two million, eight hundred eighty-one thousand, one hundred twenty".