996544800 has 216 divisors, whose sum is σ = 3573247860. Its totient is φ = 261273600.

The previous prime is 996544799. The next prime is 996544831. The reversal of 996544800 is 8445699.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2782224 + 993762576 = 1668^2 + 31524^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 438066 + ... + 440334.

Almost surely, 2^996544800 is an apocalyptic number.

996544800 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 996544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786623930).

996544800 is an abundant number, since it is smaller than the sum of its proper divisors (2576703060).

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

996544800 is a wasteful number, since it uses less digits than its factorization.

996544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 996544800 is about 31568.0978204262. The cubic root of 996544800 is about 998.8469376248.

The spelling of 996544800 in words is "nine hundred ninety-six million, five hundred forty-four thousand, eight hundred".