266832 has 60 divisors (see below), whose sum is σ = 797940. Its totient is φ = 82944.

The previous prime is 266821. The next prime is 266837. The reversal of 266832 is 238662.

266832 = T₈ + T₉ + ... + T₁₁₆.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 69696 = 444^2 + 264^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 266796 and 266805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266837) by changing a digit.

266832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (13299).

2²⁶⁶⁸³² is an apocalyptic number.

266832 is the 327-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398970).

266832 is an abundant number, since it is smaller than the sum of its proper divisors (531108).

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

266832 is a wasteful number, since it uses less digits than its factorization.

266832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 266832 is about 516.5578380007. The cubic root of 266832 is about 64.3792585237.

The spelling of 266832 in words is "two hundred sixty-six thousand, eight hundred thirty-two".