25585408 has 36 divisors (see below), whose sum is σ = 54084240. Its totient is φ = 12038144.

The previous prime is 25585403. The next prime is 25585423. The reversal of 25585408 is 80458552.

It is a super-2 number, since 2×25585408² = 1309226205052928, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25585403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1413 + ... + 7291.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^25585408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042120).

25585408 is an abundant number, since it is smaller than the sum of its proper divisors (28498832).

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

25585408 is an equidigital number, since it uses as much as digits as its factorization.

25585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 37.

The square root of 25585408 is about 5058.2020521130. The cubic root of 25585408 is about 294.6665119696. Note that the first 3 decimals are identical.

The spelling of 25585408 in words is "twenty-five million, five hundred eighty-five thousand, four hundred eight".