54990 has 48 divisors (see below), whose sum is σ = 157248. Its totient is φ = 13248.

The previous prime is 54983. The next prime is 55001. The reversal of 54990 is 9945.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

54990 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, 1147 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁵⁴⁹⁹⁰ is an apocalyptic number.

It is a pronic number, being equal to 234×235.

It is a practical number, because each smaller number is the sum of distinct divisors of 54990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624).

54990 is an abundant number, since it is smaller than the sum of its proper divisors (102258).

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

54990 is a wasteful number, since it uses less digits than its factorization.

54990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 54990 is about 234.4994669504. The cubic root of 54990 is about 38.0272196482.

The spelling of 54990 in words is "fifty-four thousand, nine hundred ninety".