25138960 has 180 divisors, whose sum is σ = 76143564. Its totient is φ = 7687680.

The previous prime is 25138943. The next prime is 25138963. The reversal of 25138960 is 6983152.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 11478544 = 3696^2 + 3388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25138963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474294 + ... + 474346.

Almost surely, 2^25138960 is an apocalyptic number.

25138960 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 25138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071782).

25138960 is an abundant number, since it is smaller than the sum of its proper divisors (51004604).

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

25138960 is a wasteful number, since it uses less digits than its factorization.

25138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 25138960 is about 5013.8767435987. The cubic root of 25138960 is about 292.9425351394.

The spelling of 25138960 in words is "twenty-five million, one hundred thirty-eight thousand, nine hundred sixty".