54084960 has 216 divisors, whose sum is σ = 195655824. Its totient is φ = 13601280.

The previous prime is 54084949. The next prime is 54085021. The reversal of 54084960 is 6948045.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 761725 + ... + 761795.

It is an arithmetic number, because the mean of its divisors is an integer number (905814).

Almost surely, 2^54084960 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 54084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97827912).

54084960 is an abundant number, since it is smaller than the sum of its proper divisors (141570864).

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

54084960 is a wasteful number, since it uses less digits than its factorization.

54084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54084960 is about 7354.2477521498. The cubic root of 54084960 is about 378.1744386784.

The spelling of 54084960 in words is "fifty-four million, eighty-four thousand, nine hundred sixty".