825264 has 60 divisors (see below), whose sum is σ = 2524392. Its totient is φ = 249600.

The previous prime is 825259. The next prime is 825277. The reversal of 825264 is 462528.

825264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

825264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324 + ... + 1844.

2⁸²⁵²⁶⁴ 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 825264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262196).

825264 is an abundant number, since it is smaller than the sum of its proper divisors (1699128).

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

825264 is a wasteful number, since it uses less digits than its factorization.

825264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 825264 is about 908.4404218219. The cubic root of 825264 is about 93.7988758479.

It can be divided in two parts, 825 and 264, that added together give a square (1089 = 33²).

The spelling of 825264 in words is "eight hundred twenty-five thousand, two hundred sixty-four".