825368676 has 96 divisors (see below), whose sum is σ = 2178441216. Its totient is φ = 240960000.

The previous prime is 825368659. The next prime is 825368701. The reversal of 825368676 is 676863528.

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, 1640641 + ... + 1641143.

It is an arithmetic number, because the mean of its divisors is an integer number (22692096).

Almost surely, 2^825368676 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 825368676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089220608).

825368676 is an abundant number, since it is smaller than the sum of its proper divisors (1353072540).

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

825368676 is a wasteful number, since it uses less digits than its factorization.

825368676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 825368676 is about 28729.2303412396. The cubic root of 825368676 is about 938.0284147826.

The spelling of 825368676 in words is "eight hundred twenty-five million, three hundred sixty-eight thousand, six hundred seventy-six".