821828664 has 48 divisors (see below), whose sum is σ = 2229383520. Its totient is φ = 273500160.

The previous prime is 821828659. The next prime is 821828677. The reversal of 821828664 is 466828128.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37249 + ... + 55055.

It is an arithmetic number, because the mean of its divisors is an integer number (46445490).

Almost surely, 2^821828664 is an apocalyptic number.

It is an amenable number.

821828664 is an abundant number, since it is smaller than the sum of its proper divisors (1407554856).

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

821828664 is a wasteful number, since it uses less digits than its factorization.

821828664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18460 (or 18453 counting only the distinct ones).

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

The square root of 821828664 is about 28667.5542033149. The cubic root of 821828664 is about 936.6854227799.

The spelling of 821828664 in words is "eight hundred twenty-one million, eight hundred twenty-eight thousand, six hundred sixty-four".