54461120 has 112 divisors (see below), whose sum is σ = 152083008. Its totient is φ = 18186240.

The previous prime is 54461117. The next prime is 54461123. The reversal of 54461120 is 2116445.

It is an interprime number because it is at equal distance from previous prime (54461117) and next prime (54461123).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (54461123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91544 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (1357884).

Almost surely, 2^54461120 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 54461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76041504).

54461120 is an abundant number, since it is smaller than the sum of its proper divisors (97621888).

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

54461120 is a wasteful number, since it uses less digits than its factorization.

54461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 54461120 is about 7379.7777744320. Note that the first 5 decimals coincide. The cubic root of 54461120 is about 379.0491462596.

Adding to 54461120 its reverse (2116445), we get a palindrome (56577565).

The spelling of 54461120 in words is "fifty-four million, four hundred sixty-one thousand, one hundred twenty".