25968000 has 128 divisors (see below), whose sum is σ = 86243040. Its totient is φ = 6912000.

The previous prime is 25967983. The next prime is 25968013. The reversal of 25968000 is 86952.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47730 + ... + 48270.

Almost surely, 2^25968000 is an apocalyptic number.

25968000 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 25968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43121520).

25968000 is an abundant number, since it is smaller than the sum of its proper divisors (60275040).

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

25968000 is an equidigital number, since it uses as much as digits as its factorization.

25968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 25968000 is about 5095.8806893411. The cubic root of 25968000 is about 296.1280186445.

The spelling of 25968000 in words is "twenty-five million, nine hundred sixty-eight thousand".