54046080 has 192 divisors, whose sum is σ = 203832720. Its totient is φ = 13086720.

The previous prime is 54046063. The next prime is 54046081. The reversal of 54046080 is 8064045.

54046080 is a `hidden beast` number, since 54 + 0 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54046081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62934 + ... + 63786.

Almost surely, 2^54046080 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 54046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101916360).

54046080 is an abundant number, since it is smaller than the sum of its proper divisors (149786640).

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

54046080 is a wasteful number, since it uses less digits than its factorization.

54046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 874 counting only the distinct ones).

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

The square root of 54046080 is about 7351.6039066315. The cubic root of 54046080 is about 378.0837976643.

The spelling of 54046080 in words is "fifty-four million, forty-six thousand, eighty".