825696 has 72 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 264960.

The previous prime is 825689. The next prime is 825697. The reversal of 825696 is 696528.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 825696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13506 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁸²⁵⁶⁹⁶ 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 825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

825696 is an abundant number, since it is smaller than the sum of its proper divisors (1611648).

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

825696 is a wasteful number, since it uses less digits than its factorization.

825696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 825696 is about 908.6781608468. The cubic root of 825696 is about 93.8152399228.

It can be divided in two parts, 825 and 696, that added together give a square (1521 = 39²).

The spelling of 825696 in words is "eight hundred twenty-five thousand, six hundred ninety-six".