26862 has 24 divisors (see below), whose sum is σ = 60648. Its totient is φ = 7920.

The previous prime is 26861. The next prime is 26863.

26862 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (26861) and next prime (26863).

Its product of digits (1152) is a multiple of the sum of its prime factors (64).

It is a plaindrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

2²⁶⁸⁶² is an apocalyptic number.

26862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30324).

26862 is an abundant number, since it is smaller than the sum of its proper divisors (33786).

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

26862 is a wasteful number, since it uses less digits than its factorization.

26862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 26862 is about 163.8963086833. The cubic root of 26862 is about 29.9488015626.

It can be divided in two parts, 26 and 862, that added together give a palindrome (888).

The spelling of 26862 in words is "twenty-six thousand, eight hundred sixty-two".