825896960 has 156 divisors (see below), whose sum is σ = 2308289328. Its totient is φ = 282820608.

The previous prime is 825896957. The next prime is 825896993. The reversal of 825896960 is 69698528.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003109 + ... + 1003931.

Almost surely, 2^825896960 is an apocalyptic number.

825896960 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 825896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154144664).

825896960 is an abundant number, since it is smaller than the sum of its proper divisors (1482392368).

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

825896960 is an equidigital number, since it uses as much as digits as its factorization.

825896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The square root of 825896960 is about 28738.4230604256. The cubic root of 825896960 is about 938.2285030297.

The spelling of 825896960 in words is "eight hundred twenty-five million, eight hundred ninety-six thousand, nine hundred sixty".