54306720 has 192 divisors, whose sum is σ = 204906240. Its totient is φ = 13353984.

The previous prime is 54306709. The next prime is 54306739. The reversal of 54306720 is 2760345.

It is a happy number.

54306720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 55677 + ... + 56643.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 2^54306720 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 54306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

54306720 is an abundant number, since it is smaller than the sum of its proper divisors (150599520).

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

54306720 is a wasteful number, since it uses less digits than its factorization.

54306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54306720 is about 7369.3093299169. The cubic root of 54306720 is about 378.6905994484.

The spelling of 54306720 in words is "fifty-four million, three hundred six thousand, seven hundred twenty".