826314048 has 210 divisors, whose sum is σ = 2850240426. Its totient is φ = 236017152.

The previous prime is 826314037. The next prime is 826314089. The reversal of 826314048 is 840413628.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 1016064 = 28728^2 + 1008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 252390 + ... + 255642.

Almost surely, 2^826314048 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 826314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425120213).

826314048 is an abundant number, since it is smaller than the sum of its proper divisors (2023926378).

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

826314048 is a wasteful number, since it uses less digits than its factorization.

826314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 826314048 is about 28745.6787709040. The cubic root of 826314048 is about 938.3864153815.

The spelling of 826314048 in words is "eight hundred twenty-six million, three hundred fourteen thousand, forty-eight".