54285120 has 224 divisors, whose sum is σ = 196535040. Its totient is φ = 14100480.

The previous prime is 54285103. The next prime is 54285149. The reversal of 54285120 is 2158245.

It is a happy number.

It is a super-3 number, since 3×54285120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 526989 + ... + 527091.

Almost surely, 2^54285120 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 54285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98267520).

54285120 is an abundant number, since it is smaller than the sum of its proper divisors (142249920).

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

54285120 is a wasteful number, since it uses less digits than its factorization.

54285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54285120 is about 7367.8436465495. The cubic root of 54285120 is about 378.6403858857.

The spelling of 54285120 in words is "fifty-four million, two hundred eighty-five thousand, one hundred twenty".