540176 has 60 divisors (see below), whose sum is σ = 1335852. Its totient is φ = 209664.

The previous prime is 540173. The next prime is 540179. The reversal of 540176 is 671045.

It is an interprime number because it is at equal distance from previous prime (540173) and next prime (540179).

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 313600 = 476^2 + 560^2 .

It is a super-2 number, since 2×540176² = 583580221952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540173) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10166 + ... + 10218.

2⁵⁴⁰¹⁷⁶ is an apocalyptic number.

540176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926).

540176 is an abundant number, since it is smaller than the sum of its proper divisors (795676).

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

540176 is a wasteful number, since it uses less digits than its factorization.

540176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 540176 is about 734.9666659108. The cubic root of 540176 is about 81.4413745276.

The spelling of 540176 in words is "five hundred forty thousand, one hundred seventy-six".