268965312 has 336 divisors, whose sum is σ = 950683392. Its totient is φ = 66232320.

The previous prime is 268965293. The next prime is 268965317. The reversal of 268965312 is 213569862.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268965317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380168 + ... + 2380280.

Almost surely, 2^268965312 is an apocalyptic number.

268965312 is a gapful number since it is divisible by the number (22) 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 268965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475341696).

268965312 is an abundant number, since it is smaller than the sum of its proper divisors (681718080).

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

268965312 is a wasteful number, since it uses less digits than its factorization.

268965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 268965312 is about 16400.1619504199. The cubic root of 268965312 is about 645.5037324463.

The spelling of 268965312 in words is "two hundred sixty-eight million, nine hundred sixty-five thousand, three hundred twelve".