54737568 has 72 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 17654400.

The previous prime is 54737549. The next prime is 54737591. The reversal of 54737568 is 86573745.

54737568 is a `hidden beast` number, since 54 + 7 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 5863 + ... + 11993.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^54737568 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 54737568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

54737568 is an abundant number, since it is smaller than the sum of its proper divisors (105969888).

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

54737568 is a wasteful number, since it uses less digits than its factorization.

54737568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6167 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 54737568 is about 7398.4841690714. The cubic root of 54737568 is about 379.6894230558.

It can be divided in two parts, 5473 and 7568, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 54737568 in words is "fifty-four million, seven hundred thirty-seven thousand, five hundred sixty-eight".