820204608 has 56 divisors (see below), whose sum is σ = 2187277312. Its totient is φ = 271240704.

The previous prime is 820204579. The next prime is 820204613. The reversal of 820204608 is 806402028.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7566 + ... + 41202.

Almost surely, 2^820204608 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 820204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093638656).

820204608 is an abundant number, since it is smaller than the sum of its proper divisors (1367072704).

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

820204608 is a wasteful number, since it uses less digits than its factorization.

820204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33779 (or 33769 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 820204608 is about 28639.2145143682. The cubic root of 820204608 is about 936.0680058705.

The spelling of 820204608 in words is "eight hundred twenty million, two hundred four thousand, six hundred eight".