268660 has 48 divisors (see below), whose sum is σ = 685440. Its totient is φ = 86400.

The previous prime is 268643. The next prime is 268661. The reversal of 268660 is 66862.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268661) by changing a digit.

268660 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, 2610 + ... + 2710.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2²⁶⁸⁶⁶⁰ is an apocalyptic number.

268660 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 268660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

268660 is an abundant number, since it is smaller than the sum of its proper divisors (416780).

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

268660 is a wasteful number, since it uses less digits than its factorization.

268660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 268660 is about 518.3242228567. The cubic root of 268660 is about 64.5259395296.

The spelling of 268660 in words is "two hundred sixty-eight thousand, six hundred sixty".