24820 has 24 divisors (see below), whose sum is σ = 55944. Its totient is φ = 9216.

The previous prime is 24809. The next prime is 24821. The reversal of 24820 is 2842.

24820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 19044 = 76^2 + 138^2 .

24820 is an undulating number in base 13.

24820 is strictly pandigital in base 6.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 24794 and 24803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24821) by changing a digit.

24820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (2331).

2²⁴⁸²⁰ is an apocalyptic number.

24820 is a gapful number since it is divisible by the number (20) 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 24820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27972).

24820 is an abundant number, since it is smaller than the sum of its proper divisors (31124).

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

24820 is a wasteful number, since it uses less digits than its factorization.

24820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 24820 is about 157.5436447465. The cubic root of 24820 is about 29.1698318560.

The spelling of 24820 in words is "twenty-four thousand, eight hundred twenty".