268628 has 6 divisors (see below), whose sum is σ = 470106. Its totient is φ = 134312.

The previous prime is 268613. The next prime is 268637. The reversal of 268628 is 826862.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 110224 = 398^2 + 332^2 .

It is a super-2 number, since 2×268628² = 144322004768, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 6² + 6⁴ + 8⁴ + 2¹⁰ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 268594 and 268603.

It is a congruent number.

It is an unprimeable number.

268628 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33575 + ... + 33582.

It is an arithmetic number, because the mean of its divisors is an integer number (78351).

2²⁶⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

268628 is a deficient number, since it is larger than the sum of its proper divisors (201478).

268628 is a wasteful number, since it uses less digits than its factorization.

268628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67161 (or 67159 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 268628 is about 518.2933532277. The cubic root of 268628 is about 64.5233775404.

The spelling of 268628 in words is "two hundred sixty-eight thousand, six hundred twenty-eight".