268436240 has 20 divisors (see below), whose sum is σ = 624114444. Its totient is φ = 107374464.

The previous prime is 268436219. The next prime is 268436249. The reversal of 268436240 is 42634862.

It can be written as a sum of positive squares in 2 ways, for example, as 96196864 + 172239376 = 9808^2 + 13124^2 .

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Leyland number of the form 28² + 2²⁸.

It is a self number, because there is not a number n which added to its sum of digits gives 268436240.

It is not an unprimeable number, because it can be changed into a prime (268436249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677647 + ... + 1677806.

Almost surely, 2^268436240 is an apocalyptic number.

268436240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268436240 is an abundant number, since it is smaller than the sum of its proper divisors (355678204).

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

268436240 is a wasteful number, since it uses less digits than its factorization.

268436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355466 (or 3355460 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 268436240 is about 16384.0239257638. The cubic root of 268436240 is about 645.0802055580.

The spelling of 268436240 in words is "two hundred sixty-eight million, four hundred thirty-six thousand, two hundred forty".