268420 has 12 divisors (see below), whose sum is σ = 563724. Its totient is φ = 107360.

The previous prime is 268403. The next prime is 268439. The reversal of 268420 is 24862.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 81796 = 432^2 + 286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 268391 and 268400.

It is an unprimeable number.

268420 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 in 3 ways as a sum of consecutive naturals, for example, 6691 + ... + 6730.

It is an arithmetic number, because the mean of its divisors is an integer number (46977).

2²⁶⁸⁴²⁰ is an apocalyptic number.

268420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268420 is an abundant number, since it is smaller than the sum of its proper divisors (295304).

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

268420 is a wasteful number, since it uses less digits than its factorization.

268420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 268420 is about 518.0926558059. The cubic root of 268420 is about 64.5067196493.

It can be divided in two parts, 2684 and 20, that added together give a square (2704 = 52²).

The spelling of 268420 in words is "two hundred sixty-eight thousand, four hundred twenty".