268143642 has 64 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 80937792.

The previous prime is 268143607. The next prime is 268143647. The reversal of 268143642 is 246341862.

268143642 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 4 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268143597 and 268143606.

It is not an unprimeable number, because it can be changed into a prime (268143647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33603 + ... + 40809.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2^268143642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268143642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

268143642 is an abundant number, since it is smaller than the sum of its proper divisors (385766118).

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

268143642 is a wasteful number, since it uses less digits than its factorization.

268143642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7278 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 268143642 is about 16375.0921218783. The cubic root of 268143642 is about 644.8457392045.

The spelling of 268143642 in words is "two hundred sixty-eight million, one hundred forty-three thousand, six hundred forty-two".