826832448 has 140 divisors (see below), whose sum is σ = 2639743260. Its totient is φ = 254389248.

The previous prime is 826832437. The next prime is 826832449. The reversal of 826832448 is 844238628.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 347747904 = 21888^2 + 18648^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (826832449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61258 + ... + 73526.

It is an arithmetic number, because the mean of its divisors is an integer number (18855309).

Almost surely, 2^826832448 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 826832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319871630).

826832448 is an abundant number, since it is smaller than the sum of its proper divisors (1812910812).

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

826832448 is a wasteful number, since it uses less digits than its factorization.

826832448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12287 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 826832448 is about 28754.6943645729. The cubic root of 826832448 is about 938.5826110955.

The spelling of 826832448 in words is "eight hundred twenty-six million, eight hundred thirty-two thousand, four hundred forty-eight".