820646226 has 24 divisors (see below), whose sum is σ = 1815899904. Its totient is φ = 267728280.

The previous prime is 820646213. The next prime is 820646231. The reversal of 820646226 is 622646028.

820646226 is a `hidden beast` number, since 8 + 2 + 0 + 646 + 2 + 2 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 484170 + ... + 485861.

It is an arithmetic number, because the mean of its divisors is an integer number (75662496).

Almost surely, 2^820646226 is an apocalyptic number.

820646226 is an abundant number, since it is smaller than the sum of its proper divisors (995253678).

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

820646226 is a wasteful number, since it uses less digits than its factorization.

820646226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970086 (or 970083 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 820646226 is about 28646.9234997408. The cubic root of 820646226 is about 936.2359762796.

The spelling of 820646226 in words is "eight hundred twenty million, six hundred forty-six thousand, two hundred twenty-six".