54378960 has 80 divisors (see below), whose sum is σ = 174036480. Its totient is φ = 14031360.

The previous prime is 54378959. The next prime is 54378967. The reversal of 54378960 is 6987345.

It is a happy number.

54378960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54378967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3786 + ... + 11094.

It is an arithmetic number, because the mean of its divisors is an integer number (2175456).

Almost surely, 2^54378960 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 54378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87018240).

54378960 is an abundant number, since it is smaller than the sum of its proper divisors (119657520).

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

54378960 is a wasteful number, since it uses less digits than its factorization.

54378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7356 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54378960 is about 7374.2091101351. The cubic root of 54378960 is about 378.8584392525.

The spelling of 54378960 in words is "fifty-four million, three hundred seventy-eight thousand, nine hundred sixty".