268868424 has 64 divisors (see below), whose sum is σ = 736727040. Its totient is φ = 81092160.

The previous prime is 268868407. The next prime is 268868429. The reversal of 268868424 is 424868862.

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 (268868429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56589 + ... + 61155.

It is an arithmetic number, because the mean of its divisors is an integer number (11511360).

Almost surely, 2^268868424 is an apocalyptic number.

268868424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368363520).

268868424 is an abundant number, since it is smaller than the sum of its proper divisors (467858616).

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

268868424 is a wasteful number, since it uses less digits than its factorization.

268868424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4806 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 268868424 is about 16397.2078110878. The cubic root of 268868424 is about 645.4262143005.

The spelling of 268868424 in words is "two hundred sixty-eight million, eight hundred sixty-eight thousand, four hundred twenty-four".