25205040 has 160 divisors (see below), whose sum is σ = 99279360. Its totient is φ = 5757696.

The previous prime is 25205023. The next prime is 25205041. The reversal of 25205040 is 4050252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (25205041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14287 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (620496).

Almost surely, 2^25205040 is an apocalyptic number.

25205040 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 25205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49639680).

25205040 is an abundant number, since it is smaller than the sum of its proper divisors (74074320).

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

25205040 is a wasteful number, since it uses less digits than its factorization.

25205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 25205040 is about 5020.4621301231. The cubic root of 25205040 is about 293.1989857689.

Adding to 25205040 its reverse (4050252), we get a palindrome (29255292).

The spelling of 25205040 in words is "twenty-five million, two hundred five thousand, forty".