25961600 has 192 divisors, whose sum is σ = 78417600. Its totient is φ = 8294400.

The previous prime is 25961599. The next prime is 25961633. The reversal of 25961600 is 616952.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 425570 + ... + 425630.

It is an arithmetic number, because the mean of its divisors is an integer number (408425).

Almost surely, 2^25961600 is an apocalyptic number.

25961600 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 25961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39208800).

25961600 is an abundant number, since it is smaller than the sum of its proper divisors (52456000).

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

25961600 is a wasteful number, since it uses less digits than its factorization.

25961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 25961600 is about 5095.2526924580. The cubic root of 25961600 is about 296.1036890204.

The spelling of 25961600 in words is "twenty-five million, nine hundred sixty-one thousand, six hundred".