25953040 has 40 divisors (see below), whose sum is σ = 61489368. Its totient is φ = 10183680.

The previous prime is 25953019. The next prime is 25953043. The reversal of 25953040 is 4035952.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 24760576 = 1092^2 + 4976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25953043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1180 + ... + 7300.

Almost surely, 2^25953040 is an apocalyptic number.

25953040 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 25953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30744684).

25953040 is an abundant number, since it is smaller than the sum of its proper divisors (35536328).

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

25953040 is a wasteful number, since it uses less digits than its factorization.

25953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 25953040 is about 5094.4126256125. The cubic root of 25953040 is about 296.0711418969.

Adding to 25953040 its reverse (4035952), we get a palindrome (29988992).

The spelling of 25953040 in words is "twenty-five million, nine hundred fifty-three thousand, forty".