26006820 has 96 divisors (see below), whose sum is σ = 87628800. Its totient is φ = 5629824.

The previous prime is 26006809. The next prime is 26006899. The reversal of 26006820 is 2860062.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6351 + ... + 9609.

It is an arithmetic number, because the mean of its divisors is an integer number (912800).

Almost surely, 2^26006820 is an apocalyptic number.

26006820 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 26006820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43814400).

26006820 is an abundant number, since it is smaller than the sum of its proper divisors (61621980).

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

26006820 is a wasteful number, since it uses less digits than its factorization.

26006820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26006820 is about 5099.6882257644. The cubic root of 26006820 is about 296.2755074265.

Adding to 26006820 its reverse (2860062), we get a palindrome (28866882).

The spelling of 26006820 in words is "twenty-six million, six thousand, eight hundred twenty".