54440064 has 192 divisors, whose sum is σ = 184367040. Its totient is φ = 15095808.

The previous prime is 54440059. The next prime is 54440077. The reversal of 54440064 is 46004445.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 346674 + ... + 346830.

It is an arithmetic number, because the mean of its divisors is an integer number (960245).

Almost surely, 2^54440064 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 54440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92183520).

54440064 is an abundant number, since it is smaller than the sum of its proper divisors (129926976).

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

54440064 is a wasteful number, since it uses less digits than its factorization.

54440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54440064 is about 7378.3510352924. The cubic root of 54440064 is about 379.0002900748. Note that the first 3 decimals are identical.

The spelling of 54440064 in words is "fifty-four million, four hundred forty thousand, sixty-four".