25704640 has 112 divisors (see below), whose sum is σ = 68104512. Its totient is φ = 9179136.

The previous prime is 25704619. The next prime is 25704641. The reversal of 25704640 is 4640752.

It is a junction number, because it is equal to n+sod(n) for n = 25704599 and 25704608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25704641) 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, 153837 + ... + 154003.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 2^25704640 is an apocalyptic number.

25704640 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 25704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34052256).

25704640 is an abundant number, since it is smaller than the sum of its proper divisors (42399872).

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

25704640 is a wasteful number, since it uses less digits than its factorization.

25704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 25704640 is about 5069.9743589095. The cubic root of 25704640 is about 295.1235334389.

The spelling of 25704640 in words is "twenty-five million, seven hundred four thousand, six hundred forty".