25802560 has 56 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 8845824.

The previous prime is 25802531. The next prime is 25802561. The reversal of 25802560 is 6520852.

25802560 = T₃₈₇ + T₃₈₈ + ... + T₅₉₆.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25802561) 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, 3520 + ... + 7999.

Almost surely, 2^25802560 is an apocalyptic number.

25802560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25802560 is an abundant number, since it is smaller than the sum of its proper divisors (44423360).

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

25802560 is a wasteful number, since it uses less digits than its factorization.

25802560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 25802560 is about 5079.6220331832. The cubic root of 25802560 is about 295.4978092930.

It can be divided in two parts, 25802 and 560, that added together give a palindrome (26362).

The spelling of 25802560 in words is "twenty-five million, eight hundred two thousand, five hundred sixty".