25602560 has 80 divisors (see below), whose sum is σ = 62681256. Its totient is φ = 10027008.

The previous prime is 25602553. The next prime is 25602569. The reversal of 25602560 is 6520652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21977344 + 3625216 = 4688^2 + 1904^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (25602569) 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, 186812 + ... + 186948.

Almost surely, 2^25602560 is an apocalyptic number.

25602560 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 25602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31340628).

25602560 is an abundant number, since it is smaller than the sum of its proper divisors (37078696).

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

25602560 is an equidigital number, since it uses as much as digits as its factorization.

25602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 25602560 is about 5059.8972321580. The cubic root of 25602560 is about 294.7323436478.

It can be divided in two parts, 25602 and 560, that added together give a palindrome (26162).

The spelling of 25602560 in words is "twenty-five million, six hundred two thousand, five hundred sixty".