813120606 has 80 divisors (see below), whose sum is σ = 1871598960. Its totient is φ = 263761920.

The previous prime is 813120601. The next prime is 813120611. The reversal of 813120606 is 606021318.

813120606 is a `hidden beast` number, since 8 + 1 + 31 + 20 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (813120601) and next prime (813120611).

It is a super-2 number, since 2×813120606² = 1322330239803614472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 813120606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813120601) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1056990 + ... + 1057758.

It is an arithmetic number, because the mean of its divisors is an integer number (23394987).

Almost surely, 2^813120606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813120606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935799480).

813120606 is an abundant number, since it is smaller than the sum of its proper divisors (1058478354).

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

813120606 is a wasteful number, since it uses less digits than its factorization.

813120606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 813120606 is about 28515.2696988824. The cubic root of 813120606 is about 933.3653101573.

The spelling of 813120606 in words is "eight hundred thirteen million, one hundred twenty thousand, six hundred six".