54600048 has 80 divisors (see below), whose sum is σ = 157728000. Its totient is φ = 18083520.

The previous prime is 54600043. The next prime is 54600059. The reversal of 54600048 is 84000645.

54600048 is a `hidden beast` number, since 54 + 600 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54599994 and 54600030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54600043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90853 + ... + 91451.

It is an arithmetic number, because the mean of its divisors is an integer number (1971600).

Almost surely, 2^54600048 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 54600048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78864000).

54600048 is an abundant number, since it is smaller than the sum of its proper divisors (103127952).

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

54600048 is a wasteful number, since it uses less digits than its factorization.

54600048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54600048 is about 7389.1845287555. The cubic root of 54600048 is about 379.3711853270.

The spelling of 54600048 in words is "fifty-four million, six hundred thousand, forty-eight".