54576144 has 120 divisors (see below), whose sum is σ = 180672960. Its totient is φ = 15047424.

The previous prime is 54576143. The next prime is 54576157. The reversal of 54576144 is 44167545.

54576144 is a `hidden beast` number, since 545 + 76 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54576099 and 54576108.

It is not an unprimeable number, because it can be changed into a prime (54576143) 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 23 ways as a sum of consecutive naturals, for example, 28299 + ... + 30165.

It is an arithmetic number, because the mean of its divisors is an integer number (1505608).

Almost surely, 2^54576144 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 54576144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90336480).

54576144 is an abundant number, since it is smaller than the sum of its proper divisors (126096816).

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

54576144 is a wasteful number, since it uses less digits than its factorization.

54576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1908 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 54576144 is about 7387.5668524894. The cubic root of 54576144 is about 379.3158141147.

The spelling of 54576144 in words is "fifty-four million, five hundred seventy-six thousand, one hundred forty-four".