54538920 has 192 divisors, whose sum is σ = 190794240. Its totient is φ = 13996800.

The previous prime is 54538909. The next prime is 54538927. The reversal of 54538920 is 2983545.

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 (54538927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301230 + ... + 301410.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 2^54538920 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 54538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

54538920 is an abundant number, since it is smaller than the sum of its proper divisors (136255320).

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

54538920 is a wasteful number, since it uses less digits than its factorization.

54538920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 54538920 is about 7385.0470546910. The cubic root of 54538920 is about 379.2295562605.

The spelling of 54538920 in words is "fifty-four million, five hundred thirty-eight thousand, nine hundred twenty".