25663680 has 336 divisors, whose sum is σ = 107777280. Its totient is φ = 5474304.

The previous prime is 25663679. The next prime is 25663697. The reversal of 25663680 is 8636652.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×25663680² = 1317248942284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383007 + ... + 383073.

Almost surely, 2^25663680 is an apocalyptic number.

25663680 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 25663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53888640).

25663680 is an abundant number, since it is smaller than the sum of its proper divisors (82113600).

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

25663680 is a wasteful number, since it uses less digits than its factorization.

25663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 25663680 is about 5065.9332802555. The cubic root of 25663680 is about 294.9666916333.

It can be divided in two parts, 256 and 63680, that added together give a palindrome (63936).

The spelling of 25663680 in words is "twenty-five million, six hundred sixty-three thousand, six hundred eighty".