25763680 has 48 divisors (see below), whose sum is σ = 63522144. Its totient is φ = 9856000.

The previous prime is 25763669. The next prime is 25763681. The reversal of 25763680 is 8636752.

25763680 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25763681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 7180.

It is an arithmetic number, because the mean of its divisors is an integer number (1323378).

Almost surely, 2^25763680 is an apocalyptic number.

25763680 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 25763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31761072).

25763680 is an abundant number, since it is smaller than the sum of its proper divisors (37758464).

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

25763680 is a wasteful number, since it uses less digits than its factorization.

25763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 25763680 is about 5075.7935340201. The cubic root of 25763680 is about 295.3493133003.

The spelling of 25763680 in words is "twenty-five million, seven hundred sixty-three thousand, six hundred eighty".