268137216 has 180 divisors, whose sum is σ = 815674552. Its totient is φ = 87588864.

The previous prime is 268137169. The next prime is 268137217. The reversal of 268137216 is 612731862.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime factors (288).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268137217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1389216 + ... + 1389408.

Almost surely, 2^268137216 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 268137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407837276).

268137216 is an abundant number, since it is smaller than the sum of its proper divisors (547537336).

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

268137216 is an equidigital number, since it uses as much as digits as its factorization.

268137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

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

The square root of 268137216 is about 16374.8959080661. The cubic root of 268137216 is about 644.8405879706.

The spelling of 268137216 in words is "two hundred sixty-eight million, one hundred thirty-seven thousand, two hundred sixteen".