809095144 has 64 divisors (see below), whose sum is σ = 1887157440. Its totient is φ = 319503360.

The previous prime is 809095129. The next prime is 809095151. The reversal of 809095144 is 441590908.

It is a junction number, because it is equal to n+sod(n) for n = 809095097 and 809095106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354 + ... + 40249.

It is an arithmetic number, because the mean of its divisors is an integer number (29486835).

Almost surely, 2^809095144 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 809095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943578720).

809095144 is an abundant number, since it is smaller than the sum of its proper divisors (1078062296).

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

809095144 is a wasteful number, since it uses less digits than its factorization.

809095144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41650 (or 41646 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 809095144 is about 28444.5977999338. The cubic root of 809095144 is about 931.8225115914.

The spelling of 809095144 in words is "eight hundred nine million, ninety-five thousand, one hundred forty-four".