540032 has 16 divisors (see below), whose sum is σ = 1076100. Its totient is φ = 269952.

The previous prime is 539993. The next prime is 540041. The reversal of 540032 is 230045.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×540032² = 583269122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 539989 and 540016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540032.

It is an unprimeable number.

540032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1982 + ... + 2237.

2⁵⁴⁰⁰³² is an apocalyptic number.

It is an amenable number.

540032 is a deficient number, since it is larger than the sum of its proper divisors (536068).

540032 is an equidigital number, since it uses as much as digits as its factorization.

540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 540032 is about 734.8686957546. The cubic root of 540032 is about 81.4341370098.

Adding to 540032 its reverse (230045), we get a palindrome (770077).

The spelling of 540032 in words is "five hundred forty thousand, thirty-two".