220824 has 24 divisors (see below), whose sum is σ = 598260. Its totient is φ = 73584.

The previous prime is 220811. The next prime is 220841. The reversal of 220824 is 428022.

220824 = 2⁵ + 3⁵ + ... + 10⁵.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 220797 and 220806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220824.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1462 + ... + 1605.

2²²⁰⁸²⁴ is an apocalyptic number.

220824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220824 is an abundant number, since it is smaller than the sum of its proper divisors (377436).

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

220824 is a wasteful number, since it uses less digits than its factorization.

220824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220824 is about 469.9191419808. The cubic root of 220824 is about 60.4433821340.

Adding to 220824 its reverse (428022), we get a palindrome (648846).

The spelling of 220824 in words is "two hundred twenty thousand, eight hundred twenty-four".