25684960 has 192 divisors, whose sum is σ = 78382080. Its totient is φ = 7741440.

The previous prime is 25684891. The next prime is 25684961. The reversal of 25684960 is 6948652.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25684961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361725 + ... + 361795.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^25684960 is an apocalyptic number.

25684960 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 25684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

25684960 is an abundant number, since it is smaller than the sum of its proper divisors (52697120).

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

25684960 is a wasteful number, since it uses less digits than its factorization.

25684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 25684960 is about 5068.0331490629. The cubic root of 25684960 is about 295.0481966642.

The spelling of 25684960 in words is "twenty-five million, six hundred eighty-four thousand, nine hundred sixty".