25668480 has 128 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 6594560.

The previous prime is 25668473. The next prime is 25668493. The reversal of 25668480 is 8486652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55450 + ... + 55910.

Almost surely, 2^25668480 is an apocalyptic number.

25668480 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 25668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

25668480 is an abundant number, since it is smaller than the sum of its proper divisors (59154720).

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

25668480 is a wasteful number, since it uses less digits than its factorization.

25668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 25668480 is about 5066.4070108905. The cubic root of 25668480 is about 294.9850801609.

The spelling of 25668480 in words is "twenty-five million, six hundred sixty-eight thousand, four hundred eighty".