825698688 has 64 divisors (see below), whose sum is σ = 2197830720. Its totient is φ = 274659840.

The previous prime is 825698641. The next prime is 825698717. The reversal of 825698688 is 886896528.

It is a tau number, because it is divible by the number of its divisors (64).

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, 208083 + ... + 212013.

It is an arithmetic number, because the mean of its divisors is an integer number (34341105).

Almost surely, 2^825698688 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 825698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098915360).

825698688 is an abundant number, since it is smaller than the sum of its proper divisors (1372132032).

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

825698688 is a wasteful number, since it uses less digits than its factorization.

825698688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4483 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The square root of 825698688 is about 28734.9732555992. The cubic root of 825698688 is about 938.1534172587.

The spelling of 825698688 in words is "eight hundred twenty-five million, six hundred ninety-eight thousand, six hundred eighty-eight".