268217376 has 144 divisors (see below), whose sum is σ = 862414560. Its totient is φ = 72576000.

The previous prime is 268217371. The next prime is 268217377. The reversal of 268217376 is 673712862.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (268217371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87876 + ... + 90876.

It is an arithmetic number, because the mean of its divisors is an integer number (5988990).

Almost surely, 2^268217376 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 268217376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431207280).

268217376 is an abundant number, since it is smaller than the sum of its proper divisors (594197184).

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

268217376 is a wasteful number, since it uses less digits than its factorization.

268217376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3032 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 268217376 is about 16377.3433743083. The cubic root of 268217376 is about 644.9048402369.

The spelling of 268217376 in words is "two hundred sixty-eight million, two hundred seventeen thousand, three hundred seventy-six".