24993680 has 40 divisors (see below), whose sum is σ = 58990272. Its totient is φ = 9846144.

The previous prime is 24993673. The next prime is 24993691. The reversal of 24993680 is 8639942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3029 + ... + 7691.

Almost surely, 2^24993680 is an apocalyptic number.

24993680 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 24993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29495136).

24993680 is an abundant number, since it is smaller than the sum of its proper divisors (33996592).

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

24993680 is a wasteful number, since it uses less digits than its factorization.

24993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 24993680 is about 4999.3679600526. The cubic root of 24993680 is about 292.3771320219.

The spelling of 24993680 in words is "twenty-four million, nine hundred ninety-three thousand, six hundred eighty".