26506020 has 48 divisors (see below), whose sum is σ = 74954880. Its totient is φ = 6998016.

The previous prime is 26505977. The next prime is 26506027. The reversal of 26506020 is 2060562.

It is not an unprimeable number, because it can be changed into a prime (26506027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4036 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 2^26506020 is an apocalyptic number.

26506020 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 26506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37477440).

26506020 is an abundant number, since it is smaller than the sum of its proper divisors (48448860).

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

26506020 is a wasteful number, since it uses less digits than its factorization.

26506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 26506020 is about 5148.3997513791. The cubic root of 26506020 is about 298.1591720561.

Adding to 26506020 its reverse (2060562), we get a palindrome (28566582).

The spelling of 26506020 in words is "twenty-six million, five hundred six thousand, twenty".