996624 has 50 divisors (see below), whose sum is σ = 2888270. Its totient is φ = 331776.

The previous prime is 996617. The next prime is 996629. The reversal of 996624 is 426699.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 186624 = 900^2 + 432^2 .

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 nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996624.

It is not an unprimeable number, because it can be changed into a prime (996629) by changing a digit.

996624 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 9 ways as a sum of consecutive naturals, for example, 912 + ... + 1680.

2⁹⁹⁶⁶²⁴ 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 996624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444135).

996624 is an abundant number, since it is smaller than the sum of its proper divisors (1891646).

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

996624 is a wasteful number, since it uses less digits than its factorization.

996624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 774 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 996624 is about 998.3105729181. The cubic root of 996624 is about 99.8873397911.

The spelling of 996624 in words is "nine hundred ninety-six thousand, six hundred twenty-four".