999997200 has 180 divisors, whose sum is σ = 3488295460. Its totient is φ = 265282560.

The previous prime is 999997181. The next prime is 999997237. The reversal of 999997200 is 2799999.

It can be written as a sum of positive squares in 6 ways, for example, as 29550096 + 970447104 = 5436^2 + 31152^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 823794 + ... + 825006.

Almost surely, 2^999997200 is an apocalyptic number.

999997200 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 999997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744147730).

999997200 is an abundant number, since it is smaller than the sum of its proper divisors (2488298260).

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

999997200 is a wasteful number, since it uses less digits than its factorization.

999997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 999997200 is about 31622.7323297656. The cubic root of 999997200 is about 999.9990666658. Note that the first 3 decimals are identical.

The spelling of 999997200 in words is "nine hundred ninety-nine million, nine hundred ninety-seven thousand, two hundred".