825680 has 20 divisors (see below), whose sum is σ = 1919892. Its totient is φ = 330240.

The previous prime is 825679. The next prime is 825689. The reversal of 825680 is 86528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 446224 = 616^2 + 668^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5081 + ... + 5240.

2⁸²⁵⁶⁸⁰ is an apocalyptic number.

825680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825680 is an abundant number, since it is smaller than the sum of its proper divisors (1094212).

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

825680 is a wasteful number, since it uses less digits than its factorization.

825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 825680 is about 908.6693568070. The cubic root of 825680 is about 93.8146339478.

The spelling of 825680 in words is "eight hundred twenty-five thousand, six hundred eighty".