54517760 has 112 divisors (see below), whose sum is σ = 143908272. Its totient is φ = 19824640.

The previous prime is 54517753. The next prime is 54517777. The reversal of 54517760 is 6771545.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 54517760.

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 7 ways as a sum of consecutive naturals, for example, 4956155 + ... + 4956165.

Almost surely, 2^54517760 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 54517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71954136).

54517760 is an abundant number, since it is smaller than the sum of its proper divisors (89390512).

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

54517760 is an frugal number, since it uses more digits than its factorization.

54517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 54517760 is about 7383.6142911179. The cubic root of 54517760 is about 379.1805054456.

The spelling of 54517760 in words is "fifty-four million, five hundred seventeen thousand, seven hundred sixty".