25952680 has 64 divisors (see below), whose sum is σ = 65091600. Its totient is φ = 9246720.

The previous prime is 25952677. The next prime is 25952681. The reversal of 25952680 is 8625952.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9647236 + 16305444 = 3106^2 + 4038^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25952681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14220 + ... + 15940.

Almost surely, 2^25952680 is an apocalyptic number.

25952680 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 25952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32545800).

25952680 is an abundant number, since it is smaller than the sum of its proper divisors (39138920).

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

25952680 is a wasteful number, since it uses less digits than its factorization.

25952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 25952680 is about 5094.3772926630. The cubic root of 25952680 is about 296.0697729359.

The spelling of 25952680 in words is "twenty-five million, nine hundred fifty-two thousand, six hundred eighty".