806404608 has 120 divisors (see below), whose sum is σ = 2345943600. Its totient is φ = 266655744.

The previous prime is 806404607. The next prime is 806404609.

806404608 is a `hidden beast` number, since 8 + 0 + 6 + 40 + 4 + 608 = 666.

806404608 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (806404607) and next prime (806404609).

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 (806404607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639883 + ... + 641141.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^806404608 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 806404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172971800).

806404608 is an abundant number, since it is smaller than the sum of its proper divisors (1539538992).

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

806404608 is a wasteful number, since it uses less digits than its factorization.

806404608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 806404608 is about 28397.2640935707. The cubic root of 806404608 is about 930.7884815039.

The spelling of 806404608 in words is "eight hundred six million, four hundred four thousand, six hundred eight".