826468821 has 96 divisors (see below), whose sum is σ = 1423319040. Its totient is φ = 458168832.

The previous prime is 826468813. The next prime is 826468831. The reversal of 826468821 is 128864628.

826468821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 826468821 - 2³ = 826468813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826468801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3142336 + ... + 3142598.

It is an arithmetic number, because the mean of its divisors is an integer number (14826240).

Almost surely, 2^826468821 is an apocalyptic number.

It is an amenable number.

826468821 is a deficient number, since it is larger than the sum of its proper divisors (596850219).

826468821 is a wasteful number, since it uses less digits than its factorization.

826468821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 826468821 is about 28748.3707538358. The cubic root of 826468821 is about 938.4449999733. Note that the first 3 decimals are identical.

The spelling of 826468821 in words is "eight hundred twenty-six million, four hundred sixty-eight thousand, eight hundred twenty-one".