826480620 has 432 divisors, whose sum is σ = 3195279360. Its totient is φ = 169019136.

The previous prime is 826480609. The next prime is 826480621. The reversal of 826480620 is 26084628.

826480620 is a `hidden beast` number, since 8 + 2 + 648 + 0 + 6 + 2 + 0 = 666.

826480620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (826480621) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10461741 + ... + 10461819.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2^826480620 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 826480620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597639680).

826480620 is an abundant number, since it is smaller than the sum of its proper divisors (2368798740).

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

826480620 is a wasteful number, since it uses less digits than its factorization.

826480620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

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

The square root of 826480620 is about 28748.5759647326. The cubic root of 826480620 is about 938.4494658243.

The spelling of 826480620 in words is "eight hundred twenty-six million, four hundred eighty thousand, six hundred twenty".