268383348 has 96 divisors (see below), whose sum is σ = 730329600. Its totient is φ = 85131648.

The previous prime is 268383319. The next prime is 268383373. The reversal of 268383348 is 843383862.

268383348 is a `hidden beast` number, since 268 + 383 + 3 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187098 + ... + 188526.

It is an arithmetic number, because the mean of its divisors is an integer number (7607600).

Almost surely, 2^268383348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268383348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365164800).

268383348 is an abundant number, since it is smaller than the sum of its proper divisors (461946252).

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

268383348 is a wasteful number, since it uses less digits than its factorization.

268383348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 268383348 is about 16382.4097128597. The cubic root of 268383348 is about 645.0378344491.

The spelling of 268383348 in words is "two hundred sixty-eight million, three hundred eighty-three thousand, three hundred forty-eight".