805249536 has 240 divisors, whose sum is σ = 2690702784. Its totient is φ = 212115456.

The previous prime is 805249531. The next prime is 805249567. The reversal of 805249536 is 635942508.

805249536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (805249531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978021 + ... + 978843.

Almost surely, 2^805249536 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 805249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345351392).

805249536 is an abundant number, since it is smaller than the sum of its proper divisors (1885453248).

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

805249536 is a wasteful number, since it uses less digits than its factorization.

805249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 805249536 is about 28376.9190716681. The cubic root of 805249536 is about 930.3438571226.

The spelling of 805249536 in words is "eight hundred five million, two hundred forty-nine thousand, five hundred thirty-six".