54976320 has 336 divisors, whose sum is σ = 226332288. Its totient is φ = 12441600.

The previous prime is 54976309. The next prime is 54976321. The reversal of 54976320 is 2367945.

54976320 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 (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54976321) 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 47 ways as a sum of consecutive naturals, for example, 544270 + ... + 544370.

It is an arithmetic number, because the mean of its divisors is an integer number (673608).

Almost surely, 2^54976320 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 54976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113166144).

54976320 is an abundant number, since it is smaller than the sum of its proper divisors (171355968).

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

54976320 is a wasteful number, since it uses less digits than its factorization.

54976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54976320 is about 7414.6018099423. The cubic root of 54976320 is about 380.2406601116.

The spelling of 54976320 in words is "fifty-four million, nine hundred seventy-six thousand, three hundred twenty".