26564500 has 24 divisors (see below), whose sum is σ = 58017960. Its totient is φ = 10625600.

The previous prime is 26564491. The next prime is 26564507. The reversal of 26564500 is 546562.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 26563716 = 28^2 + 5154^2 .

It is a super-3 number, since 3×26564500³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26564507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26065 + ... + 27064.

It is an arithmetic number, because the mean of its divisors is an integer number (2417415).

Almost surely, 2^26564500 is an apocalyptic number.

26564500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26564500 is an abundant number, since it is smaller than the sum of its proper divisors (31453460).

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

26564500 is a wasteful number, since it uses less digits than its factorization.

26564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53148 (or 53136 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 26564500 is about 5154.0760568699. The cubic root of 26564500 is about 298.3782863159.

The spelling of 26564500 in words is "twenty-six million, five hundred sixty-four thousand, five hundred".