26730000 has 300 divisors, whose sum is σ = 105753648. Its totient is φ = 6480000.

The previous prime is 26729987. The next prime is 26730013. The reversal of 26730000 is 3762.

It is an interprime number because it is at equal distance from previous prime (26729987) and next prime (26730013).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2429995 + ... + 2430005.

Almost surely, 2^26730000 is an apocalyptic number.

26730000 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 26730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876824).

26730000 is an abundant number, since it is smaller than the sum of its proper divisors (79023648).

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

26730000 is an equidigital number, since it uses as much as digits as its factorization.

26730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 26730000 is about 5170.1063818842. The cubic root of 26730000 is about 298.9966480238.

Adding to 26730000 its reverse (3762), we get a palindrome (26733762).

The spelling of 26730000 in words is "twenty-six million, seven hundred thirty thousand".