54908064 has 96 divisors (see below), whose sum is σ = 161965440. Its totient is φ = 18095616.

The previous prime is 54908057. The next prime is 54908089. The reversal of 54908064 is 46080945.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 88684 + ... + 89300.

It is an arithmetic number, because the mean of its divisors is an integer number (1687140).

Almost surely, 2^54908064 is an apocalyptic number.

54908064 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 54908064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80982720).

54908064 is an abundant number, since it is smaller than the sum of its proper divisors (107057376).

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

54908064 is a wasteful number, since it uses less digits than its factorization.

54908064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54908064 is about 7409.9975708498. The cubic root of 54908064 is about 380.0832319991.

Adding to 54908064 its sum of digits (36), we get a square (54908100 = 7410²).

The spelling of 54908064 in words is "fifty-four million, nine hundred eight thousand, sixty-four".