821608060 has 96 divisors (see below), whose sum is σ = 2143895040. Its totient is φ = 257534208.

The previous prime is 821608057. The next prime is 821608087. The reversal of 821608060 is 60806128.

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, 192631 + ... + 196849.

It is an arithmetic number, because the mean of its divisors is an integer number (22332240).

Almost surely, 2^821608060 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 821608060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071947520).

821608060 is an abundant number, since it is smaller than the sum of its proper divisors (1322286980).

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

821608060 is a wasteful number, since it uses less digits than its factorization.

821608060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 821608060 is about 28663.7063200138. The cubic root of 821608060 is about 936.6016035882.

The spelling of 821608060 in words is "eight hundred twenty-one million, six hundred eight thousand, sixty".