268624 has 20 divisors (see below), whose sum is σ = 528736. Its totient is φ = 132192.

The previous prime is 268613. The next prime is 268637. The reversal of 268624 is 426862.

It is a junction number, because it is equal to n+sod(n) for n = 268592 and 268601.

It is a congruent number.

It is an unprimeable number.

268624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1567 + ... + 1729.

2²⁶⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

268624 is a deficient number, since it is larger than the sum of its proper divisors (260112).

268624 is a wasteful number, since it uses less digits than its factorization.

268624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 268624 is about 518.2894943948. The cubic root of 268624 is about 64.5230572775.

The spelling of 268624 in words is "two hundred sixty-eight thousand, six hundred twenty-four".