268572 has 12 divisors (see below), whose sum is σ = 626696. Its totient is φ = 89520.

The previous prime is 268547. The next prime is 268573. The reversal of 268572 is 275862.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2¹⁰ + 6⁴ + 5 + 8⁴ + 7 + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11179 + ... + 11202.

2²⁶⁸⁵⁷² is an apocalyptic number.

It is an amenable number.

268572 is an abundant number, since it is smaller than the sum of its proper divisors (358124).

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

268572 is a wasteful number, since it uses less digits than its factorization.

268572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22388 (or 22386 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 268572 is about 518.2393269523. The cubic root of 268572 is about 64.5188935697.

The spelling of 268572 in words is "two hundred sixty-eight thousand, five hundred seventy-two".