25785040 has 40 divisors (see below), whose sum is σ = 60520680. Its totient is φ = 10215936.

The previous prime is 25785037. The next prime is 25785043. The reversal of 25785040 is 4058752.

It is an interprime number because it is at equal distance from previous prime (25785037) and next prime (25785043).

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 24167056 = 1272^2 + 4916^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25784993 and 25785011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25785043) 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, 7242 + ... + 10198.

It is an arithmetic number, because the mean of its divisors is an integer number (1513017).

Almost surely, 2^25785040 is an apocalyptic number.

25785040 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 25785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260340).

25785040 is an abundant number, since it is smaller than the sum of its proper divisors (34735640).

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

25785040 is a wasteful number, since it uses less digits than its factorization.

25785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 25785040 is about 5077.8972025830. The cubic root of 25785040 is about 295.4309129098.

The spelling of 25785040 in words is "twenty-five million, seven hundred eighty-five thousand, forty".