542016 has 42 divisors (see below), whose sum is σ = 1555242. Its totient is φ = 180480.

The previous prime is 541999. The next prime is 542021. The reversal of 542016 is 610245.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 57600 = 696^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 542016.

It is a congruent number.

It is an unprimeable number.

542016 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106 + ... + 1046.

2⁵⁴²⁰¹⁶ 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 542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777621).

542016 is an abundant number, since it is smaller than the sum of its proper divisors (1013226).

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

542016 is a wasteful number, since it uses less digits than its factorization.

542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542016 is about 736.2173592085. The cubic root of 542016 is about 81.5337409066.

The spelling of 542016 in words is "five hundred forty-two thousand, sixteen".