25609680 has 60 divisors (see below), whose sum is σ = 86008260. Its totient is φ = 6829056.

The previous prime is 25609679. The next prime is 25609681. The reversal of 25609680 is 8690652.

25609680 is a `hidden beast` number, since 2 + 560 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25609679) and next prime (25609681).

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 6843456 = 4332^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25609681) 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 11 ways as a sum of consecutive naturals, for example, 17065 + ... + 18504.

It is an arithmetic number, because the mean of its divisors is an integer number (1433471).

Almost surely, 2^25609680 is an apocalyptic number.

25609680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25609680 is an abundant number, since it is smaller than the sum of its proper divisors (60398580).

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

25609680 is a wasteful number, since it uses less digits than its factorization.

25609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35579 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 25609680 is about 5060.6007548511. The cubic root of 25609680 is about 294.7596625277.

The spelling of 25609680 in words is "twenty-five million, six hundred nine thousand, six hundred eighty".