54556320 has 192 divisors, whose sum is σ = 211680000. Its totient is φ = 11501568.

The previous prime is 54556303. The next prime is 54556339. The reversal of 54556320 is 2365545.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43056 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 2^54556320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

54556320 is an abundant number, since it is smaller than the sum of its proper divisors (157123680).

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

54556320 is a wasteful number, since it uses less digits than its factorization.

54556320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 54556320 is about 7386.2250168811. The cubic root of 54556320 is about 379.2698815467.

It can be divided in two parts, 545 and 56320, that added together give a palindrome (56865).

The spelling of 54556320 in words is "fifty-four million, five hundred fifty-six thousand, three hundred twenty".