545806008 has 288 divisors, whose sum is σ = 1797344640. Its totient is φ = 148072320.

The previous prime is 545805983. The next prime is 545806067. The reversal of 545806008 is 800608545.

It is a happy number.

545806008 is a `hidden beast` number, since 5 + 45 + 8 + 0 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6575935 + ... + 6576017.

It is an arithmetic number, because the mean of its divisors is an integer number (6240780).

Almost surely, 2^545806008 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 545806008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

545806008 is an abundant number, since it is smaller than the sum of its proper divisors (1251538632).

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

545806008 is a wasteful number, since it uses less digits than its factorization.

545806008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 545806008 is about 23362.4914767240. The cubic root of 545806008 is about 817.2333928479.

The spelling of 545806008 in words is "five hundred forty-five million, eight hundred six thousand, eight".