823056984 has 64 divisors (see below), whose sum is σ = 2297232000. Its totient is φ = 273036960.

The previous prime is 823056977. The next prime is 823057003. The reversal of 823056984 is 489650328.

823056984 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 569 + 84 = 666.

It is a super-2 number, since 2×823056984² = 1354845597822352512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36547 + ... + 54605.

It is an arithmetic number, because the mean of its divisors is an integer number (35894250).

Almost surely, 2^823056984 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 823056984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148616000).

823056984 is an abundant number, since it is smaller than the sum of its proper divisors (1474175016).

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

823056984 is a wasteful number, since it uses less digits than its factorization.

823056984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18285 (or 18275 counting only the distinct ones).

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

The square root of 823056984 is about 28688.9697270571. The cubic root of 823056984 is about 937.1518528091.

The spelling of 823056984 in words is "eight hundred twenty-three million, fifty-six thousand, nine hundred eighty-four".