825808060 has 216 divisors, whose sum is σ = 2309922720. Its totient is φ = 242457600.

The previous prime is 825808033. The next prime is 825808063. The reversal of 825808060 is 60808528.

825808060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825808063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20141640 + ... + 20141680.

Almost surely, 2^825808060 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 825808060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154961360).

825808060 is an abundant number, since it is smaller than the sum of its proper divisors (1484114660).

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

825808060 is a wasteful number, since it uses less digits than its factorization.

825808060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 825808060 is about 28736.8763090215. The cubic root of 825808060 is about 938.1948380122.

The spelling of 825808060 in words is "eight hundred twenty-five million, eight hundred eight thousand, sixty".