25738680 has 256 divisors, whose sum is σ = 94556160. Its totient is φ = 5529600.

The previous prime is 25738651. The next prime is 25738681. The reversal of 25738680 is 8683752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25738681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695622 + ... + 695658.

It is an arithmetic number, because the mean of its divisors is an integer number (369360).

Almost surely, 2^25738680 is an apocalyptic number.

25738680 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 25738680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

25738680 is an abundant number, since it is smaller than the sum of its proper divisors (68817480).

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

25738680 is a wasteful number, since it uses less digits than its factorization.

25738680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 25738680 is about 5073.3302671914. The cubic root of 25738680 is about 295.2537508339.

The spelling of 25738680 in words is "twenty-five million, seven hundred thirty-eight thousand, six hundred eighty".