54126720 has 96 divisors (see below), whose sum is σ = 186926220. Its totient is φ = 14432256.

The previous prime is 54126689. The next prime is 54126749. The reversal of 54126720 is 2762145.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 9290304 = 6696^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 10458.

Almost surely, 2^54126720 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 54126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93463110).

54126720 is an abundant number, since it is smaller than the sum of its proper divisors (132799500).

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

54126720 is a wasteful number, since it uses less digits than its factorization.

54126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54126720 is about 7357.0863798110. The cubic root of 54126720 is about 378.2717454696.

Adding to 54126720 its reverse (2762145), we get a palindrome (56888865).

It can be divided in two parts, 541 and 26720, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 54126720 in words is "fifty-four million, one hundred twenty-six thousand, seven hundred twenty".