826225920 has 360 divisors, whose sum is σ = 3188995656. Its totient is φ = 203046912.

The previous prime is 826225901. The next prime is 826225931. The reversal of 826225920 is 29522628.

826225920 is a `hidden beast` number, since 8 + 2 + 62 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 780420096 = 6768^2 + 27936^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347534 + ... + 1348146.

Almost surely, 2^826225920 is an apocalyptic number.

826225920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594497828).

826225920 is an abundant number, since it is smaller than the sum of its proper divisors (2362769736).

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

826225920 is a wasteful number, since it uses less digits than its factorization.

826225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 826225920 is about 28744.1458387617. The cubic root of 826225920 is about 938.3530539501.

The spelling of 826225920 in words is "eight hundred twenty-six million, two hundred twenty-five thousand, nine hundred twenty".