992992000 has 576 divisors, whose sum is σ = 3428425728. Its totient is φ = 276480000.

The previous prime is 992991931. The next prime is 992992019. The reversal of 992992000 is 299299.

It is a super-2 number, since 2×992992000² = 1972066224128000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32031985 + ... + 32032015.

It is an arithmetic number, because the mean of its divisors is an integer number (5952128).

Almost surely, 2^992992000 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 992992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864).

992992000 is an abundant number, since it is smaller than the sum of its proper divisors (2435433728).

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

992992000 is a wasteful number, since it uses less digits than its factorization.

992992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 992992000 is about 31511.7755767586. The cubic root of 992992000 is about 997.6585217587.

The spelling of 992992000 in words is "nine hundred ninety-two million, nine hundred ninety-two thousand".