25607680 has 80 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 8773632.

The previous prime is 25607677. The next prime is 25607683. The reversal of 25607680 is 8670652.

It is an interprime number because it is at equal distance from previous prime (25607677) and next prime (25607683).

It is a tau number, because it is divible by the number of its divisors (80).

25607680 is a modest number, since divided by 7680 gives 2560 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25607683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17206 + ... + 18634.

It is an arithmetic number, because the mean of its divisors is an integer number (877734).

Almost surely, 2^25607680 is an apocalyptic number.

25607680 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 25607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

25607680 is an abundant number, since it is smaller than the sum of its proper divisors (44611040).

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

25607680 is an equidigital number, since it uses as much as digits as its factorization.

25607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 25607680 is about 5060.4031459954. The cubic root of 25607680 is about 294.7519891965.

The spelling of 25607680 in words is "twenty-five million, six hundred seven thousand, six hundred eighty".