820607606 has 128 divisors (see below), whose sum is σ = 1693440000. Its totient is φ = 295166592.

The previous prime is 820607597. The next prime is 820607617. The reversal of 820607606 is 606706028.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4913735 + ... + 4913901.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2^820607606 is an apocalyptic number.

820607606 is an abundant number, since it is smaller than the sum of its proper divisors (872832394).

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

820607606 is a wasteful number, since it uses less digits than its factorization.

820607606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 820607606 is about 28646.2494229175. The cubic root of 820607606 is about 936.2212894797.

The spelling of 820607606 in words is "eight hundred twenty million, six hundred seven thousand, six hundred six".