26262 has 12 divisors (see below), whose sum is σ = 56940. Its totient is φ = 8748.

The previous prime is 26261. The next prime is 26263.

26262 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (26261) and next prime (26263).

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: 1459 = 26262 / (2 + 6 + 2 + 6 + 2).

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

26262 is an undulating number in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 712 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (4745).

2²⁶²⁶² is an apocalyptic number.

26262 is an abundant number, since it is smaller than the sum of its proper divisors (30678).

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

26262 is a wasteful number, since it uses less digits than its factorization.

26262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 26262 is about 162.0555460328. The cubic root of 26262 is about 29.7241377763.

Subtracting from 26262 its sum of digits (18), we obtain a square (26244 = 162²).

It can be divided in two parts, 2626 and 2, that added together give a triangular number (2628 = T₇₂).

The spelling of 26262 in words is "twenty-six thousand, two hundred sixty-two".