268940 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 86016.

The previous prime is 268937. The next prime is 268969. The reversal of 268940 is 49862.

268940 = 193² + 194² + ... + 199².

268940 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 9.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2324 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁶⁸⁹⁴⁰ is an apocalyptic number.

268940 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 268940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

268940 is an abundant number, since it is smaller than the sum of its proper divisors (420532).

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

268940 is a wasteful number, since it uses less digits than its factorization.

268940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 268940 is about 518.5942537283. The cubic root of 268940 is about 64.5483482619.

The spelling of 268940 in words is "two hundred sixty-eight thousand, nine hundred forty".