825208560 has 480 divisors, whose sum is σ = 3334286592. Its totient is φ = 187453440.

The previous prime is 825208541. The next prime is 825208597. The reversal of 825208560 is 65802528.

825208560 is a `hidden beast` number, since 82 + 520 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3635167 + ... + 3635393.

Almost surely, 2^825208560 is an apocalyptic number.

825208560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825208560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667143296).

825208560 is an abundant number, since it is smaller than the sum of its proper divisors (2509078032).

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

825208560 is a wasteful number, since it uses less digits than its factorization.

825208560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 825208560 is about 28726.4435668601. The cubic root of 825208560 is about 937.9677537813.

The spelling of 825208560 in words is "eight hundred twenty-five million, two hundred eight thousand, five hundred sixty".