823680 has 192 divisors, whose sum is σ = 3341520. Its totient is φ = 184320.

The previous prime is 823679. The next prime is 823703. The reversal of 823680 is 86328.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 12.

It is a congruent number.

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, 63354 + ... + 63366.

2⁸²³⁶⁸⁰ is an apocalyptic number.

823680 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 823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

823680 is an abundant number, since it is smaller than the sum of its proper divisors (2517840).

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

823680 is a wasteful number, since it uses less digits than its factorization.

823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 823680 is about 907.5681792571. The cubic root of 823680 is about 93.7388253347.

The spelling of 823680 in words is "eight hundred twenty-three thousand, six hundred eighty".