26805000 has 80 divisors (see below), whose sum is σ = 83785680. Its totient is φ = 7144000.

The previous prime is 26804989. The next prime is 26805011. The reversal of 26805000 is 50862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26804989) and next prime (26805011).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14107 + ... + 15893.

It is an arithmetic number, because the mean of its divisors is an integer number (1047321).

Almost surely, 2^26805000 is an apocalyptic number.

26805000 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 26805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41892840).

26805000 is an abundant number, since it is smaller than the sum of its proper divisors (56980680).

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

26805000 is a wasteful number, since it uses less digits than its factorization.

26805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 26805000 is about 5177.3545368267. The cubic root of 26805000 is about 299.2760320847.

Adding to 26805000 its reverse (50862), we get a palindrome (26855862).

The spelling of 26805000 in words is "twenty-six million, eight hundred five thousand".