806584320 has 192 divisors, whose sum is σ = 2801228040. Its totient is φ = 214695936.

The previous prime is 806584313. The next prime is 806584351. The reversal of 806584320 is 23485608.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474287 + ... + 1474833.

Almost surely, 2^806584320 is an apocalyptic number.

806584320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400614020).

806584320 is an abundant number, since it is smaller than the sum of its proper divisors (1994643720).

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

806584320 is an equidigital number, since it uses as much as digits as its factorization.

806584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 806584320 is about 28400.4281657865. The cubic root of 806584320 is about 930.8576202603.

The spelling of 806584320 in words is "eight hundred six million, five hundred eighty-four thousand, three hundred twenty".