820345608 has 48 divisors (see below), whose sum is σ = 2352465180. Its totient is φ = 257362944.

The previous prime is 820345571. The next prime is 820345621. The reversal of 820345608 is 806543028.

820345608 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 45 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 801003204 + 19342404 = 28302^2 + 4398^2 .

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

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, 333885 + ... + 336332.

Almost surely, 2^820345608 is an apocalyptic number.

It is an amenable number.

820345608 is an abundant number, since it is smaller than the sum of its proper divisors (1532119572).

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

820345608 is a wasteful number, since it uses less digits than its factorization.

820345608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670246 (or 670239 counting only the distinct ones).

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

The square root of 820345608 is about 28641.6760682751. The cubic root of 820345608 is about 936.1216420913.

The spelling of 820345608 in words is "eight hundred twenty million, three hundred forty-five thousand, six hundred eight".