24740 has 12 divisors (see below), whose sum is σ = 51996. Its totient is φ = 9888.

The previous prime is 24733. The next prime is 24749. The reversal of 24740 is 4742.

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 10816 = 118^2 + 104^2 .

It is a super-2 number, since 2×24740² = 1224135200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24749) by changing a digit.

24740 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (4333).

2²⁴⁷⁴⁰ is an apocalyptic number.

24740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24740 is an abundant number, since it is smaller than the sum of its proper divisors (27256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998).

24740 is a wasteful number, since it uses less digits than its factorization.

24740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

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

The square root of 24740 is about 157.2895419283. The cubic root of 24740 is about 29.1384579874.

Adding to 24740 its product of nonzero digits (224), we get a square (24964 = 158²).

The spelling of 24740 in words is "twenty-four thousand, seven hundred forty", and thus it is an iban number.