996912000 has 768 divisors, whose sum is σ = 4368798720. Its totient is φ = 212889600.

The previous prime is 996911989. The next prime is 996912067. The reversal of 996912000 is 219699.

It is a super-3 number, since 3×996912000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23183979 + ... + 23184021.

It is an arithmetic number, because the mean of its divisors is an integer number (5688540).

Almost surely, 2^996912000 is an apocalyptic number.

996912000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184399360).

996912000 is an abundant number, since it is smaller than the sum of its proper divisors (3371886720).

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

996912000 is a wasteful number, since it uses less digits than its factorization.

996912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 996912000 is about 31573.9132829619. The cubic root of 996912000 is about 998.9696053181.

The spelling of 996912000 in words is "nine hundred ninety-six million, nine hundred twelve thousand".