806221416 has 256 divisors, whose sum is σ = 2782402560. Its totient is φ = 187868160.

The previous prime is 806221393. The next prime is 806221421. The reversal of 806221416 is 614122608.

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, 888435 + ... + 889341.

It is an arithmetic number, because the mean of its divisors is an integer number (10868760).

Almost surely, 2^806221416 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 806221416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391201280).

806221416 is an abundant number, since it is smaller than the sum of its proper divisors (1976181144).

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

806221416 is a wasteful number, since it uses less digits than its factorization.

806221416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 806221416 is about 28394.0383883660. The cubic root of 806221416 is about 930.7179933497.

It can be divided in two parts, 806 and 221416, that added together give a palindrome (222222).

The spelling of 806221416 in words is "eight hundred six million, two hundred twenty-one thousand, four hundred sixteen".