268668432 has 60 divisors (see below), whose sum is σ = 758840940. Its totient is φ = 88729344.

The previous prime is 268668409. The next prime is 268668437. The reversal of 268668432 is 234866862.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 204604416 = 8004^2 + 14304^2 .

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 (268668437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7138 + ... + 24254.

It is an arithmetic number, because the mean of its divisors is an integer number (12647349).

Almost surely, 2^268668432 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 268668432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379420470).

268668432 is an abundant number, since it is smaller than the sum of its proper divisors (490172508).

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

268668432 is a wasteful number, since it uses less digits than its factorization.

268668432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17240 (or 17231 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 268668432 is about 16391.1083212820. The cubic root of 268668432 is about 645.2661457991.

The spelling of 268668432 in words is "two hundred sixty-eight million, six hundred sixty-eight thousand, four hundred thirty-two".