24008985 has 144 divisors (see below), whose sum is σ = 57552768. Its totient is φ = 8985600.

The previous prime is 24008983. The next prime is 24008993. The reversal of 24008985 is 58980042.

24008985 is a nontrivial binomial coefficient, being equal to C(6930, 2).

It is not a de Polignac number, because 24008985 - 2¹ = 24008983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24008983) 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 143 ways as a sum of consecutive naturals, for example, 585565 + ... + 585605.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 2^24008985 is an apocalyptic number.

24008985 is the 6929-th triangular number and also the 3465-th hexagonal number.

It is an amenable number.

24008985 is an abundant number, since it is smaller than the sum of its proper divisors (33543783).

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

24008985 is a wasteful number, since it uses less digits than its factorization.

24008985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 24008985 is about 4899.8964274768. The cubic root of 24008985 is about 288.4859057159.

The spelling of 24008985 in words is "twenty-four million, eight thousand, nine hundred eighty-five".