26802 has 12 divisors (see below), whose sum is σ = 58110. Its totient is φ = 8928.

The previous prime is 26801. The next prime is 26813. The reversal of 26802 is 20862.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 1521 = 159^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1489 = 26802 / (2 + 6 + 8 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (26801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 727 + ... + 762.

2²⁶⁸⁰² is an apocalyptic number.

26802 is an abundant number, since it is smaller than the sum of its proper divisors (31308).

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

26802 is a wasteful number, since it uses less digits than its factorization.

26802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26802 is about 163.7131637957. The cubic root of 26802 is about 29.9264866735.

It can be divided in two parts, 26 and 802, that added together give a palindrome (828).

The spelling of 26802 in words is "twenty-six thousand, eight hundred two".