24120880 has 80 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7831296.

The previous prime is 24120857. The next prime is 24120881. The reversal of 24120880 is 8802142.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (24120881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9507 + ... + 11773.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^24120880 is an apocalyptic number.

24120880 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 24120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

24120880 is an abundant number, since it is smaller than the sum of its proper divisors (43374800).

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

24120880 is a wasteful number, since it uses less digits than its factorization.

24120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 24120880 is about 4911.3012532322. The cubic root of 24120880 is about 288.9333786401.

The spelling of 24120880 in words is "twenty-four million, one hundred twenty thousand, eight hundred eighty".