25282080 has 144 divisors (see below), whose sum is σ = 87646104. Its totient is φ = 6635520.

The previous prime is 25282051. The next prime is 25282087. The reversal of 25282080 is 8028252.

It can be written as a sum of positive squares in 4 ways, for example, as 11532816 + 13749264 = 3396^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25282087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139590 + ... + 139770.

Almost surely, 2^25282080 is an apocalyptic number.

25282080 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 25282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43823052).

25282080 is an abundant number, since it is smaller than the sum of its proper divisors (62364024).

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

25282080 is a wasteful number, since it uses less digits than its factorization.

25282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25282080 is about 5028.1288766300. The cubic root of 25282080 is about 293.4974059151.

The spelling of 25282080 in words is "twenty-five million, two hundred eighty-two thousand, eighty".