996624000 has 320 divisors, whose sum is σ = 3706302600. Its totient is φ = 265420800.

The previous prime is 996623989. The next prime is 996624007. The reversal of 996624000 is 426699.

It can be written as a sum of positive squares in 4 ways, for example, as 244109376 + 752514624 = 15624^2 + 27432^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (996624007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295616 + ... + 1296384.

Almost surely, 2^996624000 is an apocalyptic number.

996624000 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 996624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853151300).

996624000 is an abundant number, since it is smaller than the sum of its proper divisors (2709678600).

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

996624000 is an equidigital number, since it uses as much as digits as its factorization.

996624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 779 counting only the distinct ones).

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

The square root of 996624000 is about 31569.3522264870. The cubic root of 996624000 is about 998.8733979110.

The spelling of 996624000 in words is "nine hundred ninety-six million, six hundred twenty-four thousand".