268353144 has 96 divisors (see below), whose sum is σ = 762203520. Its totient is φ = 85132608.

The previous prime is 268353101. The next prime is 268353199. The reversal of 268353144 is 441353862.

268353144 is a `hidden beast` number, since 2 + 6 + 83 + 531 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268353099 and 268353108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574399 + ... + 574865.

It is an arithmetic number, because the mean of its divisors is an integer number (7939620).

Almost surely, 2^268353144 is an apocalyptic number.

268353144 is a gapful number since it is divisible by the number (24) 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 268353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381101760).

268353144 is an abundant number, since it is smaller than the sum of its proper divisors (493850376).

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

268353144 is a wasteful number, since it uses less digits than its factorization.

268353144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 842 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 268353144 is about 16381.4878445152. The cubic root of 268353144 is about 645.0136359115.

The spelling of 268353144 in words is "two hundred sixty-eight million, three hundred fifty-three thousand, one hundred forty-four".