24978560 has 64 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 9661440.

The previous prime is 24978557. The next prime is 24978563. The reversal of 24978560 is 6587942.

It is an interprime number because it is at equal distance from previous prime (24978557) and next prime (24978563).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24978563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19211 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^24978560 is an apocalyptic number.

24978560 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 24978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

24978560 is an abundant number, since it is smaller than the sum of its proper divisors (36711040).

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

24978560 is a wasteful number, since it uses less digits than its factorization.

24978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 24978560 is about 4997.8555401292. The cubic root of 24978560 is about 292.3181619945.

The spelling of 24978560 in words is "twenty-four million, nine hundred seventy-eight thousand, five hundred sixty".