54585800 has 48 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 21366080.

The previous prime is 54585781. The next prime is 54585809. The reversal of 54585800 is 858545.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (54585809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6497 + ... + 12303.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^54585800 is an apocalyptic number.

54585800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54585800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

54585800 is an abundant number, since it is smaller than the sum of its proper divisors (75048760).

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

54585800 is a wasteful number, since it uses less digits than its factorization.

54585800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 54585800 is about 7388.2203540501. The cubic root of 54585800 is about 379.3381832138.

The spelling of 54585800 in words is "fifty-four million, five hundred eighty-five thousand, eight hundred".