803198592 has 576 divisors, whose sum is σ = 3047466240. Its totient is φ = 209018880.

The previous prime is 803198579. The next prime is 803198593. The reversal of 803198592 is 295891308.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (803198593) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25909617 + ... + 25909647.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^803198592 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 803198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

803198592 is an abundant number, since it is smaller than the sum of its proper divisors (2244267648).

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

803198592 is a wasteful number, since it uses less digits than its factorization.

803198592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 803198592 is about 28340.7584937313. The cubic root of 803198592 is about 929.5533338939.

The spelling of 803198592 in words is "eight hundred three million, one hundred ninety-eight thousand, five hundred ninety-two".