67266 has 24 divisors (see below), whose sum is σ = 151164. Its totient is φ = 21600.

The previous prime is 67261. The next prime is 67271. The reversal of 67266 is 66276.

67266 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (67261) and next prime (67271).

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 16641 = 225^2 + 129^2 .

It is not an unprimeable number, because it can be changed into a prime (67261) 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, 616 + ... + 716.

2⁶⁷²⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75582).

67266 is an abundant number, since it is smaller than the sum of its proper divisors (83898).

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

67266 is a wasteful number, since it uses less digits than its factorization.

67266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 67266 is about 259.3568969586. The cubic root of 67266 is about 40.6691598698.

Subtracting from 67266 its reverse (66276), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 67 and 266, that added together give a palindrome (333).

The spelling of 67266 in words is "sixty-seven thousand, two hundred sixty-six".