826568064 has 240 divisors, whose sum is σ = 2863220580. Its totient is φ = 236017152.

The previous prime is 826568021. The next prime is 826568081. The reversal of 826568064 is 460865628.

826568064 is a `hidden beast` number, since 8 + 26 + 568 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 507219 + ... + 508845.

Almost surely, 2^826568064 is an apocalyptic number.

826568064 is a gapful number since it is divisible by the number (84) 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 826568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431610290).

826568064 is an abundant number, since it is smaller than the sum of its proper divisors (2036652516).

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

826568064 is a wasteful number, since it uses less digits than its factorization.

826568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 826568064 is about 28750.0967650545. The cubic root of 826568064 is about 938.4825615313.

The spelling of 826568064 in words is "eight hundred twenty-six million, five hundred sixty-eight thousand, sixty-four".