25585890 has 64 divisors (see below), whose sum is σ = 69921792. Its totient is φ = 5931200.

The previous prime is 25585883. The next prime is 25585891. The reversal of 25585890 is 9858552.

It is not an unprimeable number, because it can be changed into a prime (25585891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5905 + ... + 9275.

It is an arithmetic number, because the mean of its divisors is an integer number (1092528).

Almost surely, 2^25585890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25585890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960896).

25585890 is an abundant number, since it is smaller than the sum of its proper divisors (44335902).

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

25585890 is a wasteful number, since it uses less digits than its factorization.

25585890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415.

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 25585890 is about 5058.2496972767. The cubic root of 25585890 is about 294.6683623520.

It can be divided in two parts, 2558 and 5890, that added together give a palindrome (8448).

The spelling of 25585890 in words is "twenty-five million, five hundred eighty-five thousand, eight hundred ninety".