54082080 has 288 divisors, whose sum is σ = 208039104. Its totient is φ = 13188096.

The previous prime is 54082079. The next prime is 54082099. The reversal of 54082080 is 8028045.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 6.

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 47 ways as a sum of consecutive naturals, for example, 505387 + ... + 505493.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^54082080 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 54082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

54082080 is an abundant number, since it is smaller than the sum of its proper divisors (153957024).

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

54082080 is a wasteful number, since it uses less digits than its factorization.

54082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54082080 is about 7354.0519443365. The cubic root of 54082080 is about 378.1677260192.

The spelling of 54082080 in words is "fifty-four million, eighty-two thousand, eighty".