25963000 has 64 divisors (see below), whose sum is σ = 69451200. Its totient is φ = 8899200.

The previous prime is 25962977. The next prime is 25963001. The reversal of 25963000 is 36952.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25963001) 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, 5146 + ... + 8854.

It is an arithmetic number, because the mean of its divisors is an integer number (1085175).

Almost surely, 2^25963000 is an apocalyptic number.

25963000 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 25963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34725600).

25963000 is an abundant number, since it is smaller than the sum of its proper divisors (43488200).

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

25963000 is a wasteful number, since it uses less digits than its factorization.

25963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 25963000 is about 5095.3900733899. The cubic root of 25963000 is about 296.1090114673.

Adding to 25963000 its reverse (36952), we get a palindrome (25999952).

The spelling of 25963000 in words is "twenty-five million, nine hundred sixty-three thousand".