25982880 has 384 divisors, whose sum is σ = 110315520. Its totient is φ = 4976640.

The previous prime is 25982837. The next prime is 25982897. The reversal of 25982880 is 8828952.

It is a super-2 number, since 2×25982880² = 1350220106188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702222 + ... + 702258.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^25982880 is an apocalyptic number.

25982880 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 25982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

25982880 is an abundant number, since it is smaller than the sum of its proper divisors (84332640).

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

25982880 is a wasteful number, since it uses less digits than its factorization.

25982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 25982880 is about 5097.3404830362. The cubic root of 25982880 is about 296.1845695732.

It can be divided in two parts, 25982 and 880, that added together give a palindrome (26862).

The spelling of 25982880 in words is "twenty-five million, nine hundred eighty-two thousand, eight hundred eighty".