268753840 has 20 divisors (see below), whose sum is σ = 624852864. Its totient is φ = 107501504.

The previous prime is 268753789. The next prime is 268753843. The reversal of 268753840 is 48357862.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×268753840⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (268753843) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1679632 + ... + 1679791.

Almost surely, 2^268753840 is an apocalyptic number.

268753840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268753840 is an abundant number, since it is smaller than the sum of its proper divisors (356099024).

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

268753840 is a wasteful number, since it uses less digits than its factorization.

268753840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359436 (or 3359430 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 268753840 is about 16393.7134292387. The cubic root of 268753840 is about 645.3345139010.

The spelling of 268753840 in words is "two hundred sixty-eight million, seven hundred fifty-three thousand, eight hundred forty".