268620 has 72 divisors (see below), whose sum is σ = 849072. Its totient is φ = 63360.

The previous prime is 268613. The next prime is 268637. The reversal of 268620 is 26862.

It is an unprimeable 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 in 23 ways as a sum of consecutive naturals, for example, 7242 + ... + 7278.

2²⁶⁸⁶²⁰ is an apocalyptic number.

268620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424536).

268620 is an abundant number, since it is smaller than the sum of its proper divisors (580452).

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

268620 is a wasteful number, since it uses less digits than its factorization.

268620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268620 is about 518.2856355331. The cubic root of 268620 is about 64.5227370113.

It can be divided in two parts, 268 and 620, that added together give a palindrome (888).

The spelling of 268620 in words is "two hundred sixty-eight thousand, six hundred twenty".