25648560 has 180 divisors, whose sum is σ = 100337328. Its totient is φ = 5854464.

The previous prime is 25648547. The next prime is 25648561. The reversal of 25648560 is 6584652.

25648560 is a `hidden beast` number, since 2 + 5 + 648 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25648561) 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 35 ways as a sum of consecutive naturals, for example, 34917 + ... + 35643.

Almost surely, 2^25648560 is an apocalyptic number.

25648560 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 25648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168664).

25648560 is an abundant number, since it is smaller than the sum of its proper divisors (74688768).

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

25648560 is a wasteful number, since it uses less digits than its factorization.

25648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 25648560 is about 5064.4407391142. The cubic root of 25648560 is about 294.9087527806.

The spelling of 25648560 in words is "twenty-five million, six hundred forty-eight thousand, five hundred sixty".