25598880 has 144 divisors (see below), whose sum is σ = 90515880. Its totient is φ = 6580224.

The previous prime is 25598863. The next prime is 25598887. The reversal of 25598880 is 8889552.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 13571856 = 3468^2 + 3684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25598887) 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 23 ways as a sum of consecutive naturals, for example, 41454 + ... + 42066.

Almost surely, 2^25598880 is an apocalyptic number.

25598880 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 25598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257940).

25598880 is an abundant number, since it is smaller than the sum of its proper divisors (64917000).

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

25598880 is a wasteful number, since it uses less digits than its factorization.

25598880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 25598880 is about 5059.5335753407. The cubic root of 25598880 is about 294.7182217918.

The spelling of 25598880 in words is "twenty-five million, five hundred ninety-eight thousand, eight hundred eighty".