25626560 has 56 divisors (see below), whose sum is σ = 62215776. Its totient is φ = 10050560.

The previous prime is 25626551. The next prime is 25626563. The reversal of 25626560 is 6562652.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25626563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16205 + ... + 17715.

It is an arithmetic number, because the mean of its divisors is an integer number (1110996).

Almost surely, 2^25626560 is an apocalyptic number.

25626560 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 25626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31107888).

25626560 is an abundant number, since it is smaller than the sum of its proper divisors (36589216).

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

25626560 is a wasteful number, since it uses less digits than its factorization.

25626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 25626560 is about 5062.2682663012. The cubic root of 25626560 is about 294.8244095340.

The spelling of 25626560 in words is "twenty-five million, six hundred twenty-six thousand, five hundred sixty".