54048672 has 36 divisors (see below), whose sum is σ = 153701730. Its totient is φ = 18016128.

The previous prime is 54048667. The next prime is 54048713. The reversal of 54048672 is 27684045.

54048672 is a `hidden beast` number, since 540 + 48 + 6 + 72 = 666.

54048672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53056656 + 992016 = 7284^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93547 + ... + 94122.

Almost surely, 2^54048672 is an apocalyptic number.

It is an amenable number.

54048672 is an abundant number, since it is smaller than the sum of its proper divisors (99653058).

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

54048672 is a wasteful number, since it uses less digits than its factorization.

54048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187685 (or 187674 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54048672 is about 7351.7801925792. The cubic root of 54048672 is about 378.0898417508.

The spelling of 54048672 in words is "fifty-four million, forty-eight thousand, six hundred seventy-two".