26836368 has 80 divisors (see below), whose sum is σ = 77286720. Its totient is φ = 7967232.

The previous prime is 26836363. The next prime is 26836393. The reversal of 26836368 is 86363862.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime factors (1536).

It is not an unprimeable number, because it can be changed into a prime (26836363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17355 + ... + 18837.

It is an arithmetic number, because the mean of its divisors is an integer number (966084).

Almost surely, 2^26836368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26836368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38643360).

26836368 is an abundant number, since it is smaller than the sum of its proper divisors (50450352).

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

26836368 is a wasteful number, since it uses less digits than its factorization.

26836368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1530 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 26836368 is about 5180.3829974240. The cubic root of 26836368 is about 299.3927271172.

The spelling of 26836368 in words is "twenty-six million, eight hundred thirty-six thousand, three hundred sixty-eight".