54364320 has 144 divisors (see below), whose sum is σ = 195380640. Its totient is φ = 13727232.

The previous prime is 54364313. The next prime is 54364369. The reversal of 54364320 is 2346345.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 26367 + ... + 28353.

It is an arithmetic number, because the mean of its divisors is an integer number (1356810).

Almost surely, 2^54364320 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 54364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97690320).

54364320 is an abundant number, since it is smaller than the sum of its proper divisors (141016320).

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

54364320 is a wasteful number, since it uses less digits than its factorization.

54364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 54364320 is about 7373.2163944916. The cubic root of 54364320 is about 378.8244372207.

The spelling of 54364320 in words is "fifty-four million, three hundred sixty-four thousand, three hundred twenty".