54859680 has 288 divisors, whose sum is σ = 208039104. Its totient is φ = 13602816.

The previous prime is 54859661. The next prime is 54859687. The reversal of 54859680 is 8695845.

54859680 is a `hidden beast` number, since 5 + 485 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54859687) 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 47 ways as a sum of consecutive naturals, for example, 660919 + ... + 661001.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^54859680 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 54859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

54859680 is an abundant number, since it is smaller than the sum of its proper divisors (153179424).

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

54859680 is a wasteful number, since it uses less digits than its factorization.

54859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 54859680 is about 7406.7320729185. The cubic root of 54859680 is about 379.9715583514.

The spelling of 54859680 in words is "fifty-four million, eight hundred fifty-nine thousand, six hundred eighty".