24704 has 16 divisors (see below), whose sum is σ = 49470. Its totient is φ = 12288.

The previous prime is 24697. The next prime is 24709. The reversal of 24704 is 40742.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 1600 = 152^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×24704² = 1220575232, which contains 22 as substring.

It is a plaindrome in base 9 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32 + ... + 224.

2²⁴⁷⁰⁴ 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 24704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24735).

24704 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

24704 is an equidigital number, since it uses as much as digits as its factorization.

24704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 24704 is about 157.1750616351. The cubic root of 24704 is about 29.1243176788.

The spelling of 24704 in words is "twenty-four thousand, seven hundred four", and thus it is an iban number.