25657296 has 80 divisors (see below), whose sum is σ = 79756800. Its totient is φ = 6943104.

The previous prime is 25657279. The next prime is 25657297. The reversal of 25657296 is 69275652.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (226800) is a multiple of the sum of its prime divisors (4050).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25657297) 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, 4375 + ... + 8393.

It is an arithmetic number, because the mean of its divisors is an integer number (996960).

Almost surely, 2^25657296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25657296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39878400).

25657296 is an abundant number, since it is smaller than the sum of its proper divisors (54099504).

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

25657296 is a wasteful number, since it uses less digits than its factorization.

25657296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4050 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 25657296 is about 5065.3031498618. The cubic root of 25657296 is about 294.9422313387.

The spelling of 25657296 in words is "twenty-five million, six hundred fifty-seven thousand, two hundred ninety-six".