825060600 has 768 divisors, whose sum is σ = 3699763200. Its totient is φ = 164229120.

The previous prime is 825060581. The next prime is 825060601. The reversal of 825060600 is 6060528.

825060600 is a `hidden beast` number, since 8 + 2 + 50 + 6 + 0 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825060601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11302164 + ... + 11302236.

It is an arithmetic number, because the mean of its divisors is an integer number (4817400).

Almost surely, 2^825060600 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 825060600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849881600).

825060600 is an abundant number, since it is smaller than the sum of its proper divisors (2874702600).

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

825060600 is a wasteful number, since it uses less digits than its factorization.

825060600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 825060600 is about 28723.8681239140. The cubic root of 825060600 is about 937.9116911846.

The spelling of 825060600 in words is "eight hundred twenty-five million, sixty thousand, six hundred".