546120 has 96 divisors (see below), whose sum is σ = 1867320. Its totient is φ = 138240.

The previous prime is 546109. The next prime is 546137. The reversal of 546120 is 21645.

It is a happy number.

546120 is a `hidden beast` number, since 54 + 612 + 0 = 666.

546120 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 739²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 133956 = 642^2 + 366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 546093 and 546102.

It is a congruent number.

It is an unprimeable number.

546120 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 23 ways as a sum of consecutive naturals, for example, 13300 + ... + 13340.

2⁵⁴⁶¹²⁰ 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 546120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933660).

546120 is an abundant number, since it is smaller than the sum of its proper divisors (1321200).

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

546120 is a wasteful number, since it uses less digits than its factorization.

546120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

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

The square root of 546120 is about 738.9993234097. Note that the first 3 decimals coincide. The cubic root of 546120 is about 81.7390075841.

Adding to 546120 its reverse (21645), we get a palindrome (567765).

It can be divided in two parts, 546 and 120, that added together give a palindrome (666).

The spelling of 546120 in words is "five hundred forty-six thousand, one hundred twenty".