25822080 has 96 divisors (see below), whose sum is σ = 89186760. Its totient is φ = 6884352.

The previous prime is 25822051. The next prime is 25822081. The reversal of 25822080 is 8022852.

25822080 is a `hidden beast` number, since 2 + 582 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25822081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3519 + ... + 8001.

Almost surely, 2^25822080 is an apocalyptic number.

25822080 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 25822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593380).

25822080 is an abundant number, since it is smaller than the sum of its proper divisors (63364680).

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

25822080 is a wasteful number, since it uses less digits than its factorization.

25822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4493 counting only the distinct ones).

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

The square root of 25822080 is about 5081.5430727290. The cubic root of 25822080 is about 295.5723065947.

The spelling of 25822080 in words is "twenty-five million, eight hundred twenty-two thousand, eighty".