806644224 has 320 divisors, whose sum is σ = 2592691200. Its totient is φ = 246951936.

The previous prime is 806644219. The next prime is 806644229. The reversal of 806644224 is 422446608.

It is a happy number.

806644224 is a `hidden beast` number, since 8 + 0 + 6 + 644 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (806644219) and next prime (806644229).

It is a super-3 number, since 3×806644224³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (806644229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13671907 + ... + 13671965.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^806644224 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 806644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345600).

806644224 is an abundant number, since it is smaller than the sum of its proper divisors (1786046976).

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

806644224 is a wasteful number, since it uses less digits than its factorization.

806644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 806644224 is about 28401.4827781931. The cubic root of 806644224 is about 930.8806642302.

The spelling of 806644224 in words is "eight hundred six million, six hundred forty-four thousand, two hundred twenty-four".