24727968 has 72 divisors (see below), whose sum is σ = 74037600. Its totient is φ = 7807104.

The previous prime is 24727957. The next prime is 24727991. The reversal of 24727968 is 86972742.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×24727968² = 1222944802818048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3213 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (1028300).

Almost surely, 2^24727968 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 24727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37018800).

24727968 is an abundant number, since it is smaller than the sum of its proper divisors (49309632).

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

24727968 is a wasteful number, since it uses less digits than its factorization.

24727968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4543 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 24727968 is about 4972.7223932168. The cubic root of 24727968 is about 291.3373350913.

It can be divided in two parts, 2472 and 7968, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 24727968 in words is "twenty-four million, seven hundred twenty-seven thousand, nine hundred sixty-eight".