268578 has 24 divisors (see below), whose sum is σ = 597168. Its totient is φ = 87192.

The previous prime is 268573. The next prime is 268607. The reversal of 268578 is 875862.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁴ + 5⁴ + 8² + 7⁴ + 8⁶ .

It is a Curzon number.

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

268578 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 11 ways as a sum of consecutive naturals, for example, 601 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (24882).

2²⁶⁸⁵⁷⁸ is an apocalyptic number.

268578 is an abundant number, since it is smaller than the sum of its proper divisors (328590).

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

268578 is a wasteful number, since it uses less digits than its factorization.

268578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 268578 is about 518.2451157512. The cubic root of 268578 is about 64.5193740250.

The spelling of 268578 in words is "two hundred sixty-eight thousand, five hundred seventy-eight".