997588800 has 378 divisors, whose sum is σ = 3871433202. Its totient is φ = 242196480.

The previous prime is 997588789. The next prime is 997588829. The reversal of 997588800 is 8885799.

It can be written as a sum of positive squares in 9 ways, for example, as 376981056 + 620607744 = 19416^2 + 24912^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13665564 + ... + 13665636.

Almost surely, 2^997588800 is an apocalyptic number.

997588800 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 997588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935716601).

997588800 is an abundant number, since it is smaller than the sum of its proper divisors (2873844402).

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

997588800 is a wasteful number, since it uses less digits than its factorization.

997588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 997588800 is about 31584.6291730645. The cubic root of 997588800 is about 999.1956198127.

The spelling of 997588800 in words is "nine hundred ninety-seven million, five hundred eighty-eight thousand, eight hundred".