54984960 has 288 divisors, whose sum is σ = 205054080. Its totient is φ = 13934592.

The previous prime is 54984959. The next prime is 54984967. The reversal of 54984960 is 6948945.

It is a happy number.

54984960 is a `hidden beast` number, since 549 + 8 + 49 + 60 = 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 not an unprimeable number, because it can be changed into a prime (54984967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1278699 + ... + 1278741.

Almost surely, 2^54984960 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 54984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102527040).

54984960 is an abundant number, since it is smaller than the sum of its proper divisors (150069120).

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

54984960 is a wasteful number, since it uses less digits than its factorization.

54984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 54984960 is about 7415.1844211725. The cubic root of 54984960 is about 380.2605784281.

The spelling of 54984960 in words is "fifty-four million, nine hundred eighty-four thousand, nine hundred sixty".