262368 has 36 divisors (see below), whose sum is σ = 746928. Its totient is φ = 87360.

The previous prime is 262351. The next prime is 262369. The reversal of 262368 is 863262.

262368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262369) by changing a digit.

262368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²⁶²³⁶⁸ is an apocalyptic number.

It is an amenable number.

262368 is an abundant number, since it is smaller than the sum of its proper divisors (484560).

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

262368 is a wasteful number, since it uses less digits than its factorization.

262368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

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

The square root of 262368 is about 512.2187032899. The cubic root of 262368 is about 64.0182239769.

It can be divided in two parts, 26236 and 8, that added together give a square (26244 = 162²).

The spelling of 262368 in words is "two hundred sixty-two thousand, three hundred sixty-eight".