54630 has 24 divisors (see below), whose sum is σ = 142272. Its totient is φ = 14544.

The previous prime is 54629. The next prime is 54631. The reversal of 54630 is 3645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54629) and next prime (54631).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (5928).

2⁵⁴⁶³⁰ is an apocalyptic number.

54630 is an abundant number, since it is smaller than the sum of its proper divisors (87642).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136).

54630 is a wasteful number, since it uses less digits than its factorization.

54630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54630 is about 233.7306141694. The cubic root of 54630 is about 37.9440543316.

It can be divided in two parts, 546 and 30, that added together give a square (576 = 24²).

The spelling of 54630 in words is "fifty-four thousand, six hundred thirty".