25696000 has 144 divisors (see below), whose sum is σ = 70787808. Its totient is φ = 9216000.

The previous prime is 25695977. The next prime is 25696003. The reversal of 25696000 is 69652.

It is a self number, because there is not a number n which added to its sum of digits gives 25696000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25696003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351964 + ... + 352036.

It is an arithmetic number, because the mean of its divisors is an integer number (491582).

Almost surely, 2^25696000 is an apocalyptic number.

25696000 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 25696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393904).

25696000 is an abundant number, since it is smaller than the sum of its proper divisors (45091808).

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

25696000 is an equidigital number, since it uses as much as digits as its factorization.

25696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 25696000 is about 5069.1222119811. The cubic root of 25696000 is about 295.0904634941.

The spelling of 25696000 in words is "twenty-five million, six hundred ninety-six thousand".