826468820 has 24 divisors (see below), whose sum is σ = 1736485128. Its totient is φ = 330416000.

The previous prime is 826468813. The next prime is 826468831. The reversal of 826468820 is 28864628.

It can be written as a sum of positive squares in 4 ways, for example, as 293505424 + 532963396 = 17132^2 + 23086^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33170 + ... + 52470.

It is an arithmetic number, because the mean of its divisors is an integer number (72353547).

Almost surely, 2^826468820 is an apocalyptic number.

It is an amenable number.

826468820 is an abundant number, since it is smaller than the sum of its proper divisors (910016308).

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

826468820 is a wasteful number, since it uses less digits than its factorization.

826468820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21451 (or 21449 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 826468820 is about 28748.3707364435. The cubic root of 826468820 is about 938.4449995948. Note that the first 3 decimals are identical.

The spelling of 826468820 in words is "eight hundred twenty-six million, four hundred sixty-eight thousand, eight hundred twenty".