268213248 has 176 divisors, whose sum is σ = 810612000. Its totient is φ = 87588864.

The previous prime is 268213243. The next prime is 268213249. The reversal of 268213248 is 842312862.

268213248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268213241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460618 + ... + 2460726.

It is an arithmetic number, because the mean of its divisors is an integer number (4605750).

Almost surely, 2^268213248 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 268213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405306000).

268213248 is an abundant number, since it is smaller than the sum of its proper divisors (542398752).

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

268213248 is a wasteful number, since it uses less digits than its factorization.

268213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 268213248 is about 16377.2173460573. The cubic root of 268213248 is about 644.9015317503.

The spelling of 268213248 in words is "two hundred sixty-eight million, two hundred thirteen thousand, two hundred forty-eight".