268464 has 80 divisors (see below), whose sum is σ = 857088. Its totient is φ = 70656.

The previous prime is 268459. The next prime is 268487. The reversal of 268464 is 464862.

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

It is an unprimeable number.

268464 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, 5689 + ... + 5735.

2²⁶⁸⁴⁶⁴ is an apocalyptic number.

268464 is a gapful number since it is divisible by the number (24) 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 268464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

268464 is an abundant number, since it is smaller than the sum of its proper divisors (588624).

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

268464 is a wasteful number, since it uses less digits than its factorization.

268464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 268464 is about 518.1351175128. The cubic root of 268464 is about 64.5102441514.

The spelling of 268464 in words is "two hundred sixty-eight thousand, four hundred sixty-four".