25968540 has 96 divisors (see below), whose sum is σ = 79168320. Its totient is φ = 6359808.

The previous prime is 25968529. The next prime is 25968557. The reversal of 25968540 is 4586952.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131722 + ... + 131918.

It is an arithmetic number, because the mean of its divisors is an integer number (824670).

Almost surely, 2^25968540 is an apocalyptic number.

25968540 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 25968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160).

25968540 is an abundant number, since it is smaller than the sum of its proper divisors (53199780).

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

25968540 is a wasteful number, since it uses less digits than its factorization.

25968540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 25968540 is about 5095.9336730377. The cubic root of 25968540 is about 296.1300712737.

The spelling of 25968540 in words is "twenty-five million, nine hundred sixty-eight thousand, five hundred forty".