54873600 has 120 divisors (see below), whose sum is σ = 181398360. Its totient is φ = 14622720.

The previous prime is 54873593. The next prime is 54873601. The reversal of 54873600 is 637845.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54873600² = 6022223953920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54873601) 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, 37686 + ... + 39114.

It is an arithmetic number, because the mean of its divisors is an integer number (1511653).

Almost surely, 2^54873600 is an apocalyptic number.

54873600 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 54873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90699180).

54873600 is an abundant number, since it is smaller than the sum of its proper divisors (126524760).

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

54873600 is a wasteful number, since it uses less digits than its factorization.

54873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54873600 is about 7407.6716989888. The cubic root of 54873600 is about 380.0036934082.

The spelling of 54873600 in words is "fifty-four million, eight hundred seventy-three thousand, six hundred".