26642 has 16 divisors (see below), whose sum is σ = 50112. Its totient is φ = 10320.

The previous prime is 26641. The next prime is 26647. The reversal of 26642 is 24662.

It is not an unprimeable number, because it can be changed into a prime (26641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (3132).

2²⁶⁶⁴² is an apocalyptic number.

26642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

26642 is a deficient number, since it is larger than the sum of its proper divisors (23470).

26642 is a wasteful number, since it uses less digits than its factorization.

With its successor (26643) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (193).

26642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its digits is 576, while the sum is 20.

The square root of 26642 is about 163.2237727784. The cubic root of 26642 is about 29.8668170255.

Adding to 26642 its sum of digits (20), we get a palindrome (26662).

The spelling of 26642 in words is "twenty-six thousand, six hundred forty-two".