268042536 has 48 divisors (see below), whose sum is σ = 768654900. Its totient is φ = 84091392.

The previous prime is 268042493. The next prime is 268042549. The reversal of 268042536 is 635240862.

268042536 is a `hidden beast` number, since 2 + 6 + 80 + 42 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211702500 + 56340036 = 14550^2 + 7506^2 .

It is a super-2 number, since 2×268042536² = 143693602210622592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268042536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108271 + ... + 110718.

Almost surely, 2^268042536 is an apocalyptic number.

It is an amenable number.

268042536 is an abundant number, since it is smaller than the sum of its proper divisors (500612364).

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

268042536 is a wasteful number, since it uses less digits than its factorization.

268042536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219018 (or 219011 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268042536 is about 16372.0046420712. The cubic root of 268042536 is about 644.7646806979.

The spelling of 268042536 in words is "two hundred sixty-eight million, forty-two thousand, five hundred thirty-six".