26568960 has 288 divisors, whose sum is σ = 100662912. Its totient is φ = 5898240.

The previous prime is 26568931. The next prime is 26568967. The reversal of 26568960 is 6986562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26568967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718062 + ... + 718098.

It is an arithmetic number, because the mean of its divisors is an integer number (349524).

Almost surely, 2^26568960 is an apocalyptic number.

26568960 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 26568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331456).

26568960 is an abundant number, since it is smaller than the sum of its proper divisors (74093952).

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

26568960 is a wasteful number, since it uses less digits than its factorization.

26568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 26568960 is about 5154.5087059777. The cubic root of 26568960 is about 298.3949839473.

The spelling of 26568960 in words is "twenty-six million, five hundred sixty-eight thousand, nine hundred sixty".