25585664 has 72 divisors (see below), whose sum is σ = 56928690. Its totient is φ = 11427840.

The previous prime is 25585661. The next prime is 25585691. The reversal of 25585664 is 46658552.

It can be written as a sum of positive squares in only one way, i.e., 24601600 + 984064 = 4960^2 + 992^2 .

It is not an unprimeable number, because it can be changed into a prime (25585661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 825329 + ... + 825359.

Almost surely, 2^25585664 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 25585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28464345).

25585664 is an abundant number, since it is smaller than the sum of its proper divisors (31343026).

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

25585664 is an equidigital number, since it uses as much as digits as its factorization.

25585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its digits is 288000, while the sum is 41.

The square root of 25585664 is about 5058.2273574840. The cubic root of 25585664 is about 294.6674947482.

The spelling of 25585664 in words is "twenty-five million, five hundred eighty-five thousand, six hundred sixty-four".