268543638 has 96 divisors (see below), whose sum is σ = 666012672. Its totient is φ = 77457600.

The previous prime is 268543637. The next prime is 268543657. The reversal of 268543638 is 836345862.

It is a happy number.

268543638 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 4 + 3 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 268543593 and 268543602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268543637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410920 + ... + 411572.

It is an arithmetic number, because the mean of its divisors is an integer number (6937632).

Almost surely, 2^268543638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268543638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333006336).

268543638 is an abundant number, since it is smaller than the sum of its proper divisors (397469034).

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

268543638 is a wasteful number, since it uses less digits than its factorization.

268543638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 268543638 is about 16387.3011200747. The cubic root of 268543638 is about 645.1662236090.

The spelling of 268543638 in words is "two hundred sixty-eight million, five hundred forty-three thousand, six hundred thirty-eight".