545616 has 50 divisors (see below), whose sum is σ = 1582922. Its totient is φ = 181440.

The previous prime is 545609. The next prime is 545617. The reversal of 545616 is 616545.

It is a happy number.

545616 is a `hidden beast` number, since 5 + 45 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 254016 = 540^2 + 504^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 545616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545617) by changing a digit.

545616 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 9 ways as a sum of consecutive naturals, for example, 1086 + ... + 1506.

2⁵⁴⁵⁶¹⁶ 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 545616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791461).

545616 is an abundant number, since it is smaller than the sum of its proper divisors (1037306).

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

545616 is a wasteful number, since it uses less digits than its factorization.

545616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

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

The square root of 545616 is about 738.6582430326. The cubic root of 545616 is about 81.7138549074.

The spelling of 545616 in words is "five hundred forty-five thousand, six hundred sixteen".