268416 has 48 divisors (see below), whose sum is σ = 775710. Its totient is φ = 89088.

The previous prime is 268403. The next prime is 268439. The reversal of 268416 is 614862.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 14400 = 504^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 268416.

It is an unprimeable number.

268416 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 5 ways as a sum of consecutive naturals, for example, 1036 + ... + 1268.

2²⁶⁸⁴¹⁶ 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 268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387855).

268416 is an abundant number, since it is smaller than the sum of its proper divisors (507294).

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

268416 is a wasteful number, since it uses less digits than its factorization.

268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 268416 is about 518.0887954781. The cubic root of 268416 is about 64.5063992209.

The spelling of 268416 in words is "two hundred sixty-eight thousand, four hundred sixteen".