54390 has 48 divisors (see below), whose sum is σ = 155952. Its totient is φ = 12096.

The previous prime is 54377. The next prime is 54401. The reversal of 54390 is 9345.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

54390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (3249).

2⁵⁴³⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77976).

54390 is an abundant number, since it is smaller than the sum of its proper divisors (101562).

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

54390 is a wasteful number, since it uses less digits than its factorization.

54390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 54390 is about 233.2166374854. The cubic root of 54390 is about 37.8884076093. Note that the first 3 decimals are identical.

It can be divided in two parts, 54 and 390, that added together give a palindrome (444).

The spelling of 54390 in words is "fifty-four thousand, three hundred ninety".