54368960 has 56 divisors (see below), whose sum is σ = 131344416. Its totient is φ = 21432320.

The previous prime is 54368953. The next prime is 54368971. The reversal of 54368960 is 6986345.

54368960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54368960² = 5911967622963200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21524 + ... + 23916.

It is an arithmetic number, because the mean of its divisors is an integer number (2345436).

Almost surely, 2^54368960 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 54368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

54368960 is an abundant number, since it is smaller than the sum of its proper divisors (76975456).

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

54368960 is a wasteful number, since it uses less digits than its factorization.

54368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 54368960 is about 7373.5310401462. The cubic root of 54368960 is about 378.8352144816.

The spelling of 54368960 in words is "fifty-four million, three hundred sixty-eight thousand, nine hundred sixty".