825686016 has 96 divisors (see below), whose sum is σ = 2297393280. Its totient is φ = 263217152.

The previous prime is 825685997. The next prime is 825686041. The reversal of 825686016 is 610686528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138391 + ... + 144233.

It is an arithmetic number, because the mean of its divisors is an integer number (23931180).

Almost surely, 2^825686016 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 825686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148696640).

825686016 is an abundant number, since it is smaller than the sum of its proper divisors (1471707264).

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

825686016 is a wasteful number, since it uses less digits than its factorization.

825686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 825686016 is about 28734.7527568970. The cubic root of 825686016 is about 938.1486179531.

The spelling of 825686016 in words is "eight hundred twenty-five million, six hundred eighty-six thousand, sixteen".