268004884 has 24 divisors (see below), whose sum is σ = 536372928. Its totient is φ = 114781440.

The previous prime is 268004839. The next prime is 268004887. The reversal of 268004884 is 488400862.

268004884 is a modest number, since divided by 4884 gives 268 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268004887) 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 7 ways as a sum of consecutive naturals, for example, 61539 + ... + 65749.

It is an arithmetic number, because the mean of its divisors is an integer number (22348872).

Almost surely, 2^268004884 is an apocalyptic number.

It is an amenable number.

268004884 is an abundant number, since it is smaller than the sum of its proper divisors (268368044).

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

268004884 is a wasteful number, since it uses less digits than its factorization.

268004884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 268004884 is about 16370.8547119569. The cubic root of 268004884 is about 644.7344892006.

It can be divided in two parts, 26800 and 4884, that added together give a square (31684 = 178²).

The spelling of 268004884 in words is "two hundred sixty-eight million, four thousand, eight hundred eighty-four".