268488 has 64 divisors (see below), whose sum is σ = 820800. Its totient is φ = 80640.

The previous prime is 268487. The next prime is 268493. The reversal of 268488 is 884862.

268488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268488² = 144171612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268488.

It is not an unprimeable number, because it can be changed into a prime (268487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2320 + ... + 2432.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2²⁶⁸⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

268488 is an abundant number, since it is smaller than the sum of its proper divisors (552312).

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

268488 is a wasteful number, since it uses less digits than its factorization.

268488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 268488 is about 518.1582769772. The cubic root of 268488 is about 64.5121664448.

It can be divided in two parts, 2684 and 88, that added together give a palindrome (2772).

The spelling of 268488 in words is "two hundred sixty-eight thousand, four hundred eighty-eight".