546956064 has 144 divisors (see below), whose sum is σ = 1665780480. Its totient is φ = 176359680.

The previous prime is 546956063. The next prime is 546956093. The reversal of 546956064 is 460659645.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546956063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 239922 + ... + 242190.

It is an arithmetic number, because the mean of its divisors is an integer number (11567920).

Almost surely, 2^546956064 is an apocalyptic number.

546956064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832890240).

546956064 is an abundant number, since it is smaller than the sum of its proper divisors (1118824416).

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

546956064 is a wasteful number, since it uses less digits than its factorization.

546956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 546956064 is about 23387.0918243376. The cubic root of 546956064 is about 817.8069817557.

The spelling of 546956064 in words is "five hundred forty-six million, nine hundred fifty-six thousand, sixty-four".