24720768 has 128 divisors (see below), whose sum is σ = 76377600. Its totient is φ = 7856640.

The previous prime is 24720763. The next prime is 24720769. The reversal of 24720768 is 86702742.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×24720768² = 1222232741019648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24720763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79333 + ... + 79643.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^24720768 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 24720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188800).

24720768 is an abundant number, since it is smaller than the sum of its proper divisors (51656832).

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

24720768 is a wasteful number, since it uses less digits than its factorization.

24720768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 24720768 is about 4971.9983909893. The cubic root of 24720768 is about 291.3090562826.

The spelling of 24720768 in words is "twenty-four million, seven hundred twenty thousand, seven hundred sixty-eight".