25682880 has 112 divisors (see below), whose sum is σ = 84271104. Its totient is φ = 6620160.

The previous prime is 25682863. The next prime is 25682887. The reversal of 25682880 is 8828652.

It is a super-2 number, since 2×25682880² = 1319220650188800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25682887) 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, 29329 + ... + 30191.

Almost surely, 2^25682880 is an apocalyptic number.

25682880 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 25682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

25682880 is an abundant number, since it is smaller than the sum of its proper divisors (58588224).

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

25682880 is a wasteful number, since it uses less digits than its factorization.

25682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 25682880 is about 5067.8279370949. The cubic root of 25682880 is about 295.0402319926.

It can be divided in two parts, 25682 and 880, that added together give a palindrome (26562).

The spelling of 25682880 in words is "twenty-five million, six hundred eighty-two thousand, eight hundred eighty".