806091264 has 480 divisors, whose sum is σ = 2859816960. Its totient is φ = 223948800.

The previous prime is 806091259. The next prime is 806091277. The reversal of 806091264 is 462190608.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26002929 + ... + 26002959.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^806091264 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 806091264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

806091264 is an abundant number, since it is smaller than the sum of its proper divisors (2053725696).

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

806091264 is a wasteful number, since it uses less digits than its factorization.

806091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 806091264 is about 28391.7464063062. The cubic root of 806091264 is about 930.6679073043.

The spelling of 806091264 in words is "eight hundred six million, ninety-one thousand, two hundred sixty-four".