268340040 has 192 divisors, whose sum is σ = 952660800. Its totient is φ = 67744512.

The previous prime is 268339991. The next prime is 268340047. The reversal of 268340040 is 40043862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268339986 and 268340013.

It is not an unprimeable number, because it can be changed into a prime (268340047) 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 47 ways as a sum of consecutive naturals, for example, 183954 + ... + 185406.

It is an arithmetic number, because the mean of its divisors is an integer number (4961775).

Almost surely, 2^268340040 is an apocalyptic number.

268340040 is a gapful number since it is divisible by the number (20) 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 268340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476330400).

268340040 is an abundant number, since it is smaller than the sum of its proper divisors (684320760).

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

268340040 is a wasteful number, since it uses less digits than its factorization.

268340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 268340040 is about 16381.0878759623. The cubic root of 268340040 is about 645.0031368155.

The spelling of 268340040 in words is "two hundred sixty-eight million, three hundred forty thousand, forty".