996912 has 120 divisors (see below), whose sum is σ = 3404544. Its totient is φ = 266112.

The previous prime is 996899. The next prime is 996953. The reversal of 996912 is 219699.

996912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×996912³ = 2972293733356867584, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996912.

It is an unprimeable number.

996912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23163 + ... + 23205.

2⁹⁹⁶⁹¹² is an apocalyptic number.

996912 is a gapful number since it is divisible by the number (92) 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 996912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702272).

996912 is an abundant number, since it is smaller than the sum of its proper divisors (2407632).

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

996912 is a wasteful number, since it uses less digits than its factorization.

996912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

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

The square root of 996912 is about 998.4548061880. The cubic root of 996912 is about 99.8969605318.

The spelling of 996912 in words is "nine hundred ninety-six thousand, nine hundred twelve".