546516 has 72 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 158976.

The previous prime is 546509. The next prime is 546523. The reversal of 546516 is 615645.

It is a happy number.

546516 is a `hidden beast` number, since 5 + 4 + 651 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (546509) and next prime (546523).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 546516.

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 546516.

It is an unprimeable number.

546516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11605 + ... + 11651.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁵⁴⁶⁵¹⁶ 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 546516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

546516 is an abundant number, since it is smaller than the sum of its proper divisors (1025964).

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

546516 is a wasteful number, since it uses less digits than its factorization.

546516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 546516 is about 739.2672047372. The cubic root of 546516 is about 81.7587595473.

The spelling of 546516 in words is "five hundred forty-six thousand, five hundred sixteen".