821974608 has 480 divisors, whose sum is σ = 3087302400. Its totient is φ = 207277056.

The previous prime is 821974577. The next prime is 821974613. The reversal of 821974608 is 806479128.

821974608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7980285 + ... + 7980387.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^821974608 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 821974608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

821974608 is an abundant number, since it is smaller than the sum of its proper divisors (2265327792).

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

821974608 is a wasteful number, since it uses less digits than its factorization.

821974608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 821974608 is about 28670.0995463915. The cubic root of 821974608 is about 936.7408664232.

The spelling of 821974608 in words is "eight hundred twenty-one million, nine hundred seventy-four thousand, six hundred eight".