262768 has 20 divisors (see below), whose sum is σ = 555768. Its totient is φ = 119360.

The previous prime is 262747. The next prime is 262781. The reversal of 262768 is 867262.

It is a happy number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 571 + ... + 922.

2²⁶²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

262768 is an abundant number, since it is smaller than the sum of its proper divisors (293000).

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

262768 is a wasteful number, since it uses less digits than its factorization.

262768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 262768 is about 512.6090127963. The cubic root of 262768 is about 64.0507410105.

The spelling of 262768 in words is "two hundred sixty-two thousand, seven hundred sixty-eight".