825826144 has 96 divisors (see below), whose sum is σ = 1920360960. Its totient is φ = 344640000.

The previous prime is 825826129. The next prime is 825826147. The reversal of 825826144 is 441628528.

It is a happy number.

It is a super-2 number, since 2×825826144² = 1363977640227817472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825826097 and 825826106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825826147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148217 + ... + 1148935.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 2^825826144 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 825826144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960180480).

825826144 is an abundant number, since it is smaller than the sum of its proper divisors (1094534816).

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

825826144 is a wasteful number, since it uses less digits than its factorization.

825826144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 825826144 is about 28737.1909552761. The cubic root of 825826144 is about 938.2016863314.

The spelling of 825826144 in words is "eight hundred twenty-five million, eight hundred twenty-six thousand, one hundred forty-four".