24730560 has 168 divisors, whose sum is σ = 88123776. Its totient is φ = 6359040.

The previous prime is 24730553. The next prime is 24730561. The reversal of 24730560 is 6503742.

It is a happy number.

It is a super-2 number, since 2×24730560² = 1223201195827200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24730561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89142 + ... + 89418.

Almost surely, 2^24730560 is an apocalyptic number.

24730560 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 24730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44061888).

24730560 is an abundant number, since it is smaller than the sum of its proper divisors (63393216).

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

24730560 is a wasteful number, since it uses less digits than its factorization.

24730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 24730560 is about 4972.9830082155. The cubic root of 24730560 is about 291.3475141187.

The spelling of 24730560 in words is "twenty-four million, seven hundred thirty thousand, five hundred sixty".