996672 has 56 divisors (see below), whose sum is σ = 2743200. Its totient is φ = 318976.

The previous prime is 996649. The next prime is 996689. The reversal of 996672 is 276699.

It is a self number, because there is not a number n which added to its sum of digits gives 996672.

It is a congruent number.

It is an unprimeable number.

996672 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 7 ways as a sum of consecutive naturals, for example, 5479 + ... + 5657.

2⁹⁹⁶⁶⁷² 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 996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371600).

996672 is an abundant number, since it is smaller than the sum of its proper divisors (1746528).

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

996672 is a wasteful number, since it uses less digits than its factorization.

996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 996672 is about 998.3346132435. The cubic root of 996672 is about 99.8889433766. Note that the first 3 decimals are identical.

The spelling of 996672 in words is "nine hundred ninety-six thousand, six hundred seventy-two".