268552 has 8 divisors (see below), whose sum is σ = 503550. Its totient is φ = 134272.

The previous prime is 268547. The next prime is 268573. The reversal of 268552 is 255862.

It can be written as a sum of positive squares in only one way, i.e., 264196 + 4356 = 514^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268552.

It is an unprimeable number.

268552 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 as a sum of consecutive naturals, namely, 16777 + ... + 16792.

2²⁶⁸⁵⁵² is an apocalyptic number.

It is an amenable number.

268552 is a deficient number, since it is larger than the sum of its proper divisors (234998).

268552 is a wasteful number, since it uses less digits than its factorization.

268552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33575 (or 33571 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 268552 is about 518.2200304890. The cubic root of 268552 is about 64.5172920005.

It can be divided in two parts, 268 and 552, that added together give a triangular number (820 = T₄₀).

The spelling of 268552 in words is "two hundred sixty-eight thousand, five hundred fifty-two".