268617216 has 240 divisors, whose sum is σ = 862069824. Its totient is φ = 74059776.

The previous prime is 268617191. The next prime is 268617247. The reversal of 268617216 is 612716862.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236311 + ... + 3236393.

Almost surely, 2^268617216 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 268617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

268617216 is an abundant number, since it is smaller than the sum of its proper divisors (593452608).

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

268617216 is an equidigital number, since it uses as much as digits as its factorization.

268617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 268617216 is about 16389.5459363583. The cubic root of 268617216 is about 645.2251410423.

The spelling of 268617216 in words is "two hundred sixty-eight million, six hundred seventeen thousand, two hundred sixteen".