25785680 has 40 divisors (see below), whose sum is σ = 60362952. Its totient is φ = 10243584.

The previous prime is 25785667. The next prime is 25785689. The reversal of 25785680 is 8658752.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 24522304 = 1124^2 + 4952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25785689) 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 7 ways as a sum of consecutive naturals, for example, 11534 + ... + 13586.

Almost surely, 2^25785680 is an apocalyptic number.

25785680 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 25785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30181476).

25785680 is an abundant number, since it is smaller than the sum of its proper divisors (34577272).

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

25785680 is a wasteful number, since it uses less digits than its factorization.

25785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 25785680 is about 5077.9602204035. The cubic root of 25785680 is about 295.4333571465.

The spelling of 25785680 in words is "twenty-five million, seven hundred eighty-five thousand, six hundred eighty".