24878240 has 48 divisors (see below), whose sum is σ = 59761800. Its totient is φ = 9784320.

The previous prime is 24878237. The next prime is 24878257. The reversal of 24878240 is 4287842.

It can be written as a sum of positive squares in 4 ways, for example, as 18905104 + 5973136 = 4348^2 + 2444^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24878240.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8486 + ... + 11034.

Almost surely, 2^24878240 is an apocalyptic number.

24878240 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 24878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880900).

24878240 is an abundant number, since it is smaller than the sum of its proper divisors (34883560).

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

24878240 is a wasteful number, since it uses less digits than its factorization.

24878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 24878240 is about 4987.8091382891. The cubic root of 24878240 is about 291.9262965292.

The spelling of 24878240 in words is "twenty-four million, eight hundred seventy-eight thousand, two hundred forty".