268614144 has 240 divisors, whose sum is σ = 857945088. Its totient is φ = 83607552.

The previous prime is 268614131. The next prime is 268614169. The reversal of 268614144 is 441416862.

It is a happy number.

268614144 is a `hidden beast` number, since 26 + 8 + 614 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 268614099 and 268614108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2115009 + ... + 2115135.

Almost surely, 2^268614144 is an apocalyptic number.

268614144 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 268614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

268614144 is an abundant number, since it is smaller than the sum of its proper divisors (589330944).

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

268614144 is an equidigital number, since it uses as much as digits as its factorization.

268614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 268614144 is about 16389.4522178137. The cubic root of 268614144 is about 645.2226813598. Note that the first 3 decimals are identical.

The spelling of 268614144 in words is "two hundred sixty-eight million, six hundred fourteen thousand, one hundred forty-four".