269568 has 90 divisors (see below), whose sum is σ = 865634. Its totient is φ = 82944.

The previous prime is 269561. The next prime is 269573. The reversal of 269568 is 865962.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 82944 = 432^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁴ + 6 + 5⁴ + 9⁴ + 6³ + 8⁶ .

Its product of digits (25920) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269561) by changing a digit.

269568 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 (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20730 + ... + 20742.

269568 is a Friedman number, since it can be written as 26*8*6^(9-5), using all its digits and the basic arithmetic operations.

2²⁶⁹⁵⁶⁸ 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 269568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432817).

269568 is an abundant number, since it is smaller than the sum of its proper divisors (596066).

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

269568 is an equidigital number, since it uses as much as digits as its factorization.

269568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 18 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 269568 is about 519.1993836668. The cubic root of 269568 is about 64.5985513450.

The spelling of 269568 in words is "two hundred sixty-nine thousand, five hundred sixty-eight".