810540192 has 192 divisors, whose sum is σ = 2710278144. Its totient is φ = 205962240.

The previous prime is 810540191. The next prime is 810540259. The reversal of 810540192 is 291045018.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (810540191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346258 + ... + 348590.

It is an arithmetic number, because the mean of its divisors is an integer number (14116032).

Almost surely, 2^810540192 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 810540192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355139072).

810540192 is an abundant number, since it is smaller than the sum of its proper divisors (1899737952).

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

810540192 is a wasteful number, since it uses less digits than its factorization.

810540192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 810540192 is about 28469.9875658561. The cubic root of 810540192 is about 932.3769282241.

The spelling of 810540192 in words is "eight hundred ten million, five hundred forty thousand, one hundred ninety-two".