268590 has 32 divisors (see below), whose sum is σ = 737280. Its totient is φ = 61344.

The previous prime is 268573. The next prime is 268607. The reversal of 268590 is 95862.

It is an interprime number because it is at equal distance from previous prime (268573) and next prime (268607).

It is a super-3 number, since 3×268590³ = 58128721673337000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

268590 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 15 ways as a sum of consecutive naturals, for example, 430 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2²⁶⁸⁵⁹⁰ is an apocalyptic number.

268590 is an abundant number, since it is smaller than the sum of its proper divisors (468690).

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

268590 is a wasteful number, since it uses less digits than its factorization.

268590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 268590 is about 518.2566931550. The cubic root of 268590 is about 64.5203349140.

It can be divided in two parts, 2685 and 90, that added together give a triangular number (2775 = T₇₄).

The spelling of 268590 in words is "two hundred sixty-eight thousand, five hundred ninety".