540011268 has 36 divisors (see below), whose sum is σ = 1367018380. Its totient is φ = 179741376.

The previous prime is 540011231. The next prime is 540011321. The reversal of 540011268 is 862110045.

540011268 is a `hidden beast` number, since 540 + 0 + 112 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 501670404 = 6192^2 + 22398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×540011268² = 583224339133935648, which contains 22 as substring.

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, 14946 + ... + 36102.

Almost surely, 2^540011268 is an apocalyptic number.

It is an amenable number.

540011268 is an abundant number, since it is smaller than the sum of its proper divisors (827007112).

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

540011268 is a wasteful number, since it uses less digits than its factorization.

540011268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21876 (or 21871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 540011268 is about 23238.1425247372. The cubic root of 540011268 is about 814.3309490238.

The spelling of 540011268 in words is "five hundred forty million, eleven thousand, two hundred sixty-eight".