820956384 has 240 divisors, whose sum is σ = 2643290496. Its totient is φ = 248832000.

The previous prime is 820956377. The next prime is 820956421. The reversal of 820956384 is 483659028.

820956384 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 5 + 638 + 4 = 666.

820956384 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 39 ways as a sum of consecutive naturals, for example, 1365684 + ... + 1366284.

Almost surely, 2^820956384 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 820956384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321645248).

820956384 is an abundant number, since it is smaller than the sum of its proper divisors (1822334112).

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

820956384 is a wasteful number, since it uses less digits than its factorization.

820956384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 820956384 is about 28652.3364492322. The cubic root of 820956384 is about 936.3539095594.

The spelling of 820956384 in words is "eight hundred twenty million, nine hundred fifty-six thousand, three hundred eighty-four".