26242560 has 240 divisors, whose sum is σ = 97667856. Its totient is φ = 6488064.

The previous prime is 26242483. The next prime is 26242561. The reversal of 26242560 is 6524262.

26242560 is a `hidden beast` number, since 2 + 62 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26242561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391647 + ... + 391713.

Almost surely, 2^26242560 is an apocalyptic number.

26242560 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 26242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833928).

26242560 is an abundant number, since it is smaller than the sum of its proper divisors (71425296).

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

26242560 is a wasteful number, since it uses less digits than its factorization.

26242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26242560 is about 5122.7492618710. The cubic root of 26242560 is about 297.1680170299.

It can be divided in two parts, 2624 and 2560, that added together give a square (5184 = 72²).

The spelling of 26242560 in words is "twenty-six million, two hundred forty-two thousand, five hundred sixty".