262160 has 40 divisors (see below), whose sum is σ = 636120. Its totient is φ = 100352.

The previous prime is 262153. The next prime is 262187. The reversal of 262160 is 61262.

262160 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 262144 = 4^2 + 512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

262160 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 (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2264 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2²⁶²¹⁶⁰ is an apocalyptic number.

262160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

262160 is an abundant number, since it is smaller than the sum of its proper divisors (373960).

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

262160 is a wasteful number, since it uses less digits than its factorization.

262160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 262160 is about 512.0156247616. The cubic root of 262160 is about 64.0013020568.

The spelling of 262160 in words is "two hundred sixty-two thousand, one hundred sixty".