540192 has 48 divisors (see below), whose sum is σ = 1505952. Its totient is φ = 168960.

The previous prime is 540187. The next prime is 540203. The reversal of 540192 is 291045.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 11.

It is an unprimeable number.

540192 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 in 7 ways as a sum of consecutive naturals, for example, 1467 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (31374).

2⁵⁴⁰¹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752976).

540192 is an abundant number, since it is smaller than the sum of its proper divisors (965760).

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

540192 is a wasteful number, since it uses less digits than its factorization.

540192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 540192 is about 734.9775506776. The cubic root of 540192 is about 81.4421786169.

The spelling of 540192 in words is "five hundred forty thousand, one hundred ninety-two".