25563648 has 160 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 7208960.

The previous prime is 25563647. The next prime is 25563667. The reversal of 25563648 is 84636552.

It is not an unprimeable number, because it can be changed into a prime (25563641) 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, 287188 + ... + 287276.

It is an arithmetic number, because the mean of its divisors is an integer number (497178).

Almost surely, 2^25563648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

25563648 is an abundant number, since it is smaller than the sum of its proper divisors (53984832).

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

25563648 is a wasteful number, since it uses less digits than its factorization.

25563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 25563648 is about 5056.0506326579. The cubic root of 25563648 is about 294.5829518154.

It can be divided in two parts, 255 and 63648, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 25563648 in words is "twenty-five million, five hundred sixty-three thousand, six hundred forty-eight".