26836000 has 48 divisors (see below), whose sum is σ = 65945880. Its totient is φ = 10732800.

The previous prime is 26835997. The next prime is 26836021. The reversal of 26836000 is 63862.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 16875664 = 3156^2 + 4108^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 646 + ... + 7354.

Almost surely, 2^26836000 is an apocalyptic number.

26836000 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 26836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32972940).

26836000 is an abundant number, since it is smaller than the sum of its proper divisors (39109880).

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

26836000 is an equidigital number, since it uses as much as digits as its factorization.

26836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 26836000 is about 5180.3474786929. The cubic root of 26836000 is about 299.3913586132.

Adding to 26836000 its reverse (63862), we get a palindrome (26899862).

The spelling of 26836000 in words is "twenty-six million, eight hundred thirty-six thousand".