268974 has 32 divisors (see below), whose sum is σ = 635040. Its totient is φ = 84096.

The previous prime is 268973. The next prime is 268979. The reversal of 268974 is 479862.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268973) 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, 772 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2²⁶⁸⁹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

268974 is an abundant number, since it is smaller than the sum of its proper divisors (366066).

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

268974 is a wasteful number, since it uses less digits than its factorization.

268974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 268974 is about 518.6270336186. The cubic root of 268974 is about 64.5510682631.

The spelling of 268974 in words is "two hundred sixty-eight thousand, nine hundred seventy-four".