268145384 has 32 divisors (see below), whose sum is σ = 546262920. Its totient is φ = 122658816.

The previous prime is 268145363. The next prime is 268145389. The reversal of 268145384 is 483541862.

It can be written as a sum of positive squares in 4 ways, for example, as 195384484 + 72760900 = 13978^2 + 8530^2 .

It is not an unprimeable number, because it can be changed into a prime (268145389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344 + ... + 23160.

Almost surely, 2^268145384 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 268145384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273131460).

268145384 is an abundant number, since it is smaller than the sum of its proper divisors (278117536).

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

268145384 is a wasteful number, since it uses less digits than its factorization.

268145384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22949 (or 22945 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 268145384 is about 16375.1453123323. The cubic root of 268145384 is about 644.8471356188.

The spelling of 268145384 in words is "two hundred sixty-eight million, one hundred forty-five thousand, three hundred eighty-four".