24561960 has 64 divisors (see below), whose sum is σ = 74131200. Its totient is φ = 6510336.

The previous prime is 24561959. The next prime is 24561961. The reversal of 24561960 is 6916542.

It is an interprime number because it is at equal distance from previous prime (24561959) and next prime (24561961).

It is not an unprimeable number, because it can be changed into a prime (24561961) 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, 23121 + ... + 24159.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^24561960 is an apocalyptic number.

24561960 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 24561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065600).

24561960 is an abundant number, since it is smaller than the sum of its proper divisors (49569240).

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

24561960 is a wasteful number, since it uses less digits than its factorization.

24561960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 24561960 is about 4956.0024213069. The cubic root of 24561960 is about 290.6839189135.

The spelling of 24561960 in words is "twenty-four million, five hundred sixty-one thousand, nine hundred sixty".