823963536 has 160 divisors (see below), whose sum is σ = 2603226240. Its totient is φ = 249511680.

The previous prime is 823963529. The next prime is 823963537. The reversal of 823963536 is 635369328.

823963536 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 635 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 823963491 and 823963500.

It is not an unprimeable number, because it can be changed into a prime (823963537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574276 + ... + 575708.

It is an arithmetic number, because the mean of its divisors is an integer number (16270164).

Almost surely, 2^823963536 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 823963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301613120).

823963536 is an abundant number, since it is smaller than the sum of its proper divisors (1779262704).

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

823963536 is a wasteful number, since it uses less digits than its factorization.

823963536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1449 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 823963536 is about 28704.7650399720. The cubic root of 823963536 is about 937.4958003012.

The spelling of 823963536 in words is "eight hundred twenty-three million, nine hundred sixty-three thousand, five hundred thirty-six".