54856560 has 120 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 13291520.

The previous prime is 54856559. The next prime is 54856561. The reversal of 54856560 is 6565845.

It is an interprime number because it is at equal distance from previous prime (54856559) and next prime (54856561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54856561) 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 23 ways as a sum of consecutive naturals, for example, 28096 + ... + 29984.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^54856560 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 54856560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

54856560 is an abundant number, since it is smaller than the sum of its proper divisors (132162720).

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

54856560 is a wasteful number, since it uses less digits than its factorization.

54856560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 54856560 is about 7406.5214507217. The cubic root of 54856560 is about 379.9643549206.

The spelling of 54856560 in words is "fifty-four million, eight hundred fifty-six thousand, five hundred sixty".