54084672 has 70 divisors (see below), whose sum is σ = 160339278. Its totient is φ = 18026496.

The previous prime is 54084649. The next prime is 54084673. The reversal of 54084672 is 27648045.

54084672 is a `hidden beast` number, since 540 + 8 + 46 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48776256 + 5308416 = 6984^2 + 2304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54084673) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33 + ... + 10400.

Almost surely, 2^54084672 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 54084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80169639).

54084672 is an abundant number, since it is smaller than the sum of its proper divisors (106254606).

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

54084672 is a wasteful number, since it uses less digits than its factorization.

54084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10438 counting only the distinct ones).

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

The square root of 54084672 is about 7354.2281716031. The cubic root of 54084672 is about 378.1737674232.

It can be divided in two parts, 54084 and 672, that added together give a square (54756 = 234²).

The spelling of 54084672 in words is "fifty-four million, eighty-four thousand, six hundred seventy-two".