26306000 has 80 divisors (see below), whose sum is σ = 72733440. Its totient is φ = 9014400.

The previous prime is 26305991. The next prime is 26306017. The reversal of 26306000 is 60362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 26306000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13061 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (909168).

Almost surely, 2^26306000 is an apocalyptic number.

26306000 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 26306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36366720).

26306000 is an abundant number, since it is smaller than the sum of its proper divisors (46427440).

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

26306000 is a wasteful number, since it uses less digits than its factorization.

26306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 26306000 is about 5128.9375118050. The cubic root of 26306000 is about 297.4072869774.

Adding to 26306000 its reverse (60362), we get a palindrome (26366362).

The spelling of 26306000 in words is "twenty-six million, three hundred six thousand".