54846720 has 270 divisors, whose sum is σ = 205155258. Its totient is φ = 13989888.

The previous prime is 54846713. The next prime is 54846721. The reversal of 54846720 is 2764845.

54846720 is a `hidden beast` number, since 548 + 46 + 72 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 10969344 = 6624^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 (54846721) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2384629 + ... + 2384651.

Almost surely, 2^54846720 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 54846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102577629).

54846720 is an abundant number, since it is smaller than the sum of its proper divisors (150308538).

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

54846720 is an equidigital number, since it uses as much as digits as its factorization.

54846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54846720 is about 7405.8571414793. The cubic root of 54846720 is about 379.9416346186.

The spelling of 54846720 in words is "fifty-four million, eight hundred forty-six thousand, seven hundred twenty".