809015064 has 256 divisors, whose sum is σ = 2555642880. Its totient is φ = 209848320.

The previous prime is 809015047. The next prime is 809015083. The reversal of 809015064 is 460510908.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2920494 + ... + 2920770.

It is an arithmetic number, because the mean of its divisors is an integer number (9982980).

Almost surely, 2^809015064 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 809015064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277821440).

809015064 is an abundant number, since it is smaller than the sum of its proper divisors (1746627816).

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

809015064 is a wasteful number, since it uses less digits than its factorization.

809015064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 809015064 is about 28443.1901164409. The cubic root of 809015064 is about 931.7917682730.

The spelling of 809015064 in words is "eight hundred nine million, fifteen thousand, sixty-four".