54382920 has 64 divisors (see below), whose sum is σ = 163944000. Its totient is φ = 14431488.

The previous prime is 54382907. The next prime is 54382927. The reversal of 54382920 is 2928345.

It is a happy number.

54382920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54382927) 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, 26491 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (2561625).

Almost surely, 2^54382920 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 54382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81972000).

54382920 is an abundant number, since it is smaller than the sum of its proper divisors (109561080).

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

54382920 is a wasteful number, since it uses less digits than its factorization.

54382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54382920 is about 7374.4776086174. The cubic root of 54382920 is about 378.8676354747.

The spelling of 54382920 in words is "fifty-four million, three hundred eighty-two thousand, nine hundred twenty".