268041312 has 480 divisors, whose sum is σ = 1053803520. Its totient is φ = 64696320.

The previous prime is 268041281. The next prime is 268041359. The reversal of 268041312 is 213140862.

It is a super-2 number, since 2×268041312² = 143692289877362688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3392889 + ... + 3392967.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^268041312 is an apocalyptic number.

268041312 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 268041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

268041312 is an abundant number, since it is smaller than the sum of its proper divisors (785762208).

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

268041312 is a wasteful number, since it uses less digits than its factorization.

268041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 268041312 is about 16371.9672611449. The cubic root of 268041312 is about 644.7636992702.

The spelling of 268041312 in words is "two hundred sixty-eight million, forty-one thousand, three hundred twelve".