825849960 has 128 divisors (see below), whose sum is σ = 2784257280. Its totient is φ = 194439168.

The previous prime is 825849943. The next prime is 825849971. The reversal of 825849960 is 69948528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24372 + ... + 47388.

It is an arithmetic number, because the mean of its divisors is an integer number (21752010).

Almost surely, 2^825849960 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 825849960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392128640).

825849960 is an abundant number, since it is smaller than the sum of its proper divisors (1958407320).

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

825849960 is a wasteful number, since it uses less digits than its factorization.

825849960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 825849960 is about 28737.6053282106. The cubic root of 825849960 is about 938.2107051774.

The spelling of 825849960 in words is "eight hundred twenty-five million, eight hundred forty-nine thousand, nine hundred sixty".