268940144 has 40 divisors (see below), whose sum is σ = 576951168. Its totient is φ = 120415680.

The previous prime is 268940141. The next prime is 268940149. The reversal of 268940144 is 441049862.

It is a junction number, because it is equal to n+sod(n) for n = 268940098 and 268940107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268940141) 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, 389 + ... + 23195.

Almost surely, 2^268940144 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 268940144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288475584).

268940144 is an abundant number, since it is smaller than the sum of its proper divisors (308011024).

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

268940144 is a wasteful number, since it uses less digits than its factorization.

268940144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22893 (or 22887 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 268940144 is about 16399.3946229731. The cubic root of 268940144 is about 645.4835978243.

The spelling of 268940144 in words is "two hundred sixty-eight million, nine hundred forty thousand, one hundred forty-four".