54967120 has 80 divisors (see below), whose sum is σ = 145771920. Its totient is φ = 19095552.

The previous prime is 54967109. The next prime is 54967153. The reversal of 54967120 is 2176945.

54967120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4613904 + 50353216 = 2148^2 + 7096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16126 + ... + 19234.

It is an arithmetic number, because the mean of its divisors is an integer number (1822149).

Almost surely, 2^54967120 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 54967120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72885960).

54967120 is an abundant number, since it is smaller than the sum of its proper divisors (90804800).

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

54967120 is a wasteful number, since it uses less digits than its factorization.

54967120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 54967120 is about 7413.9813865426. The cubic root of 54967120 is about 380.2194484989.

The spelling of 54967120 in words is "fifty-four million, nine hundred sixty-seven thousand, one hundred twenty".