268718040 has 64 divisors (see below), whose sum is σ = 895730400. Its totient is φ = 71657856.

The previous prime is 268718017. The next prime is 268718053. The reversal of 268718040 is 40817862.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 268717986 and 268718004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123327 + ... + 125486.

Almost surely, 2^268718040 is an apocalyptic number.

268718040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268718040 is an abundant number, since it is smaller than the sum of its proper divisors (627012360).

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

268718040 is a wasteful number, since it uses less digits than its factorization.

268718040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248833 (or 248823 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 268718040 is about 16392.6215109115. The cubic root of 268718040 is about 645.3058581845.

The spelling of 268718040 in words is "two hundred sixty-eight million, seven hundred eighteen thousand, forty".