825695360 has 128 divisors (see below), whose sum is σ = 2285452800. Its totient is φ = 279392256.

The previous prime is 825695327. The next prime is 825695399. The reversal of 825695360 is 63596528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352754 + ... + 355086.

It is an arithmetic number, because the mean of its divisors is an integer number (17855100).

Almost surely, 2^825695360 is an apocalyptic number.

825695360 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 825695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142726400).

825695360 is an abundant number, since it is smaller than the sum of its proper divisors (1459757440).

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

825695360 is a wasteful number, since it uses less digits than its factorization.

825695360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The square root of 825695360 is about 28734.9153470129. The cubic root of 825695360 is about 938.1521568398.

The spelling of 825695360 in words is "eight hundred twenty-five million, six hundred ninety-five thousand, three hundred sixty".