268371792 has 200 divisors, whose sum is σ = 886646376. Its totient is φ = 77635584.

The previous prime is 268371781. The next prime is 268371793. The reversal of 268371792 is 297173862.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 267126336 = 1116^2 + 16344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268371793) 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 39 ways as a sum of consecutive naturals, for example, 285948 + ... + 286884.

Almost surely, 2^268371792 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 268371792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443323188).

268371792 is an abundant number, since it is smaller than the sum of its proper divisors (618274584).

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

268371792 is a wasteful number, since it uses less digits than its factorization.

268371792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 268371792 is about 16382.0570136964. The cubic root of 268371792 is about 645.0285763434.

The spelling of 268371792 in words is "two hundred sixty-eight million, three hundred seventy-one thousand, seven hundred ninety-two".