24720640 has 144 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 8110080.

The previous prime is 24720623. The next prime is 24720643. The reversal of 24720640 is 4602742.

It is a super-2 number, since 2×24720640² = 1222220084019200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24720643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277716 + ... + 277804.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^24720640 is an apocalyptic number.

24720640 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 24720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

24720640 is an abundant number, since it is smaller than the sum of its proper divisors (45920000).

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

24720640 is an equidigital number, since it uses as much as digits as its factorization.

24720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 24720640 is about 4971.9855188848. The cubic root of 24720640 is about 291.3085534985.

The spelling of 24720640 in words is "twenty-four million, seven hundred twenty thousand, six hundred forty".