26561000 has 32 divisors (see below), whose sum is σ = 62155080. Its totient is φ = 10624000.

The previous prime is 26560997. The next prime is 26561009. The reversal of 26561000 is 16562.

It can be written as a sum of positive squares in 4 ways, for example, as 12974404 + 13586596 = 3602^2 + 3686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561009) 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, 12281 + ... + 14280.

Almost surely, 2^26561000 is an apocalyptic number.

26561000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26561000 is an abundant number, since it is smaller than the sum of its proper divisors (35594080).

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

26561000 is a wasteful number, since it uses less digits than its factorization.

26561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26582 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 26561000 is about 5153.7365085926. The cubic root of 26561000 is about 298.3651814846.

Adding to 26561000 its reverse (16562), we get a palindrome (26577562).

The spelling of 26561000 in words is "twenty-six million, five hundred sixty-one thousand".