25585648 has 40 divisors (see below), whose sum is σ = 55554480. Its totient is φ = 11312640.

The previous prime is 25585619. The next prime is 25585661. The reversal of 25585648 is 84658552.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4548 + ... + 8476.

It is an arithmetic number, because the mean of its divisors is an integer number (1388862).

Almost surely, 2^25585648 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 25585648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27777240).

25585648 is an abundant number, since it is smaller than the sum of its proper divisors (29968832).

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

25585648 is a wasteful number, since it uses less digits than its factorization.

25585648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3979 counting only the distinct ones).

The product of its digits is 384000, while the sum is 43.

The square root of 25585648 is about 5058.2257759021. The cubic root of 25585648 is about 294.6674333247.

The spelling of 25585648 in words is "twenty-five million, five hundred eighty-five thousand, six hundred forty-eight".