25660680 has 64 divisors (see below), whose sum is σ = 78788160. Its totient is φ = 6682368.

The previous prime is 25660669. The next prime is 25660703. The reversal of 25660680 is 8606652.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2674 + ... + 7646.

It is an arithmetic number, because the mean of its divisors is an integer number (1231065).

Almost surely, 2^25660680 is an apocalyptic number.

25660680 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 25660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39394080).

25660680 is an abundant number, since it is smaller than the sum of its proper divisors (53127480).

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

25660680 is a wasteful number, since it uses less digits than its factorization.

25660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 25660680 is about 5065.6371761112. The cubic root of 25660680 is about 294.9551976393.

It can be divided in two parts, 256606 and 80, that added together give a triangular number (256686 = T₇₁₆).

The spelling of 25660680 in words is "twenty-five million, six hundred sixty thousand, six hundred eighty".