25380640 has 96 divisors (see below), whose sum is σ = 63440496. Its totient is φ = 9584640.

The previous prime is 25380613. The next prime is 25380647. The reversal of 25380640 is 4608352.

It can be written as a sum of positive squares in 8 ways, for example, as 7639696 + 17740944 = 2764^2 + 4212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25380599 and 25380608.

It is not an unprimeable number, because it can be changed into a prime (25380647) 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, 347644 + ... + 347716.

Almost surely, 2^25380640 is an apocalyptic number.

25380640 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 25380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31720248).

25380640 is an abundant number, since it is smaller than the sum of its proper divisors (38059856).

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

25380640 is a wasteful number, since it uses less digits than its factorization.

25380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 25380640 is about 5037.9202057992. The cubic root of 25380640 is about 293.8783027874.

Adding to 25380640 its reverse (4608352), we get a palindrome (29988992).

The spelling of 25380640 in words is "twenty-five million, three hundred eighty thousand, six hundred forty".