825856260 has 96 divisors (see below), whose sum is σ = 2457931392. Its totient is φ = 206469120.

The previous prime is 825856231. The next prime is 825856301. The reversal of 825856260 is 62658528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287230 + ... + 290090.

It is an arithmetic number, because the mean of its divisors is an integer number (25603452).

Almost surely, 2^825856260 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 825856260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228965696).

825856260 is an abundant number, since it is smaller than the sum of its proper divisors (1632075132).

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

825856260 is a wasteful number, since it uses less digits than its factorization.

825856260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 825856260 is about 28737.7149404750. The cubic root of 825856260 is about 938.2130908862.

The spelling of 825856260 in words is "eight hundred twenty-five million, eight hundred fifty-six thousand, two hundred sixty".