25575680 has 144 divisors (see below), whose sum is σ = 69536880. Its totient is φ = 8945664.

The previous prime is 25575673. The next prime is 25575689. The reversal of 25575680 is 8657552.

It can be written as a sum of positive squares in 8 ways, for example, as 495616 + 25080064 = 704^2 + 5008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25575689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482534 + ... + 482586.

It is an arithmetic number, because the mean of its divisors is an integer number (482895).

Almost surely, 2^25575680 is an apocalyptic number.

25575680 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 25575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34768440).

25575680 is an abundant number, since it is smaller than the sum of its proper divisors (43961200).

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

25575680 is a wasteful number, since it uses less digits than its factorization.

25575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 25575680 is about 5057.2403541853. The cubic root of 25575680 is about 294.6291615235.

The spelling of 25575680 in words is "twenty-five million, five hundred seventy-five thousand, six hundred eighty".