54046320 has 80 divisors (see below), whose sum is σ = 174845952. Its totient is φ = 13784320.

The previous prime is 54046309. The next prime is 54046327. The reversal of 54046320 is 2364045.

54046320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54046327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 625 + ... + 10415.

Almost surely, 2^54046320 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 54046320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87422976).

54046320 is an abundant number, since it is smaller than the sum of its proper divisors (120799632).

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

54046320 is a wasteful number, since it uses less digits than its factorization.

54046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54046320 is about 7351.6202295820. The cubic root of 54046320 is about 378.0843573101.

The spelling of 54046320 in words is "fifty-four million, forty-six thousand, three hundred twenty".