821112606 has 64 divisors (see below), whose sum is σ = 1877568000. Its totient is φ = 265845888.

The previous prime is 821112577. The next prime is 821112637. The reversal of 821112606 is 606211128.

It is a super-2 number, since 2×821112606² = 1348451823464222472, 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 821112606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461190 + ... + 462966.

It is an arithmetic number, because the mean of its divisors is an integer number (29337000).

Almost surely, 2^821112606 is an apocalyptic number.

821112606 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 821112606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784000).

821112606 is an abundant number, since it is smaller than the sum of its proper divisors (1056455394).

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

821112606 is a wasteful number, since it uses less digits than its factorization.

821112606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 821112606 is about 28655.0624846640. The cubic root of 821112606 is about 936.4132995610.

The spelling of 821112606 in words is "eight hundred twenty-one million, one hundred twelve thousand, six hundred six".