54609120 has 96 divisors (see below), whose sum is σ = 191147040. Its totient is φ = 14561280.

The previous prime is 54609119. The next prime is 54609127. The reversal of 54609120 is 2190645.

54609120 is a `hidden beast` number, since 54 + 609 + 1 + 2 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54609127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 10640.

It is an arithmetic number, because the mean of its divisors is an integer number (1991115).

Almost surely, 2^54609120 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 54609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95573520).

54609120 is an abundant number, since it is smaller than the sum of its proper divisors (136537920).

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

54609120 is a wasteful number, since it uses less digits than its factorization.

54609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12665 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54609120 is about 7389.7983734335. The cubic root of 54609120 is about 379.3921954721.

Adding to 54609120 its reverse (2190645), we get a palindrome (56799765).

The spelling of 54609120 in words is "fifty-four million, six hundred nine thousand, one hundred twenty".