823864320 has 264 divisors, whose sum is σ = 3008107440. Its totient is φ = 207912960.

The previous prime is 823864303. The next prime is 823864343. The reversal of 823864320 is 23468328.

823864320 is a `hidden beast` number, since 8 + 2 + 3 + 8 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875050 + ... + 875990.

Almost surely, 2^823864320 is an apocalyptic number.

823864320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504053720).

823864320 is an abundant number, since it is smaller than the sum of its proper divisors (2184243120).

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

823864320 is a wasteful number, since it uses less digits than its factorization.

823864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 823864320 is about 28703.0367731360. The cubic root of 823864320 is about 937.4581698670.

Adding to 823864320 its product of nonzero digits (55296), we get a square (823919616 = 28704²).

The spelling of 823864320 in words is "eight hundred twenty-three million, eight hundred sixty-four thousand, three hundred twenty".