268034784 has 72 divisors (see below), whose sum is σ = 747490968. Its totient is φ = 84080640.

The previous prime is 268034783. The next prime is 268034797. The reversal of 268034784 is 487430862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268034783) 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 11 ways as a sum of consecutive naturals, for example, 22914 + ... + 32574.

It is an arithmetic number, because the mean of its divisors is an integer number (10381819).

Almost surely, 2^268034784 is an apocalyptic number.

268034784 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 268034784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373745484).

268034784 is an abundant number, since it is smaller than the sum of its proper divisors (479456184).

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

268034784 is a wasteful number, since it uses less digits than its factorization.

268034784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 268034784 is about 16371.7678947632. The cubic root of 268034784 is about 644.7584649382.

The spelling of 268034784 in words is "two hundred sixty-eight million, thirty-four thousand, seven hundred eighty-four".