262032 has 40 divisors (see below), whose sum is σ = 696384. Its totient is φ = 84864.

The previous prime is 262027. The next prime is 262049. The reversal of 262032 is 230262.

262032 is nontrivially palindromic in base 11.

It is a nialpdrome in base 4 and base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2493 + ... + 2595.

2²⁶²⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348192).

262032 is an abundant number, since it is smaller than the sum of its proper divisors (434352).

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

262032 is a wasteful number, since it uses less digits than its factorization.

262032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 262032 is about 511.8906133150. The cubic root of 262032 is about 63.9908841183.

Adding to 262032 its reverse (230262), we get a palindrome (492294).

The spelling of 262032 in words is "two hundred sixty-two thousand, thirty-two".