54812160 has 320 divisors, whose sum is σ = 213111360. Its totient is φ = 13271040.

The previous prime is 54812111. The next prime is 54812161. The reversal of 54812160 is 6121845.

It is a tau number, because it is divible by the number of its divisors (320).

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 (54812161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898530 + ... + 898590.

It is an arithmetic number, because the mean of its divisors is an integer number (665973).

Almost surely, 2^54812160 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 54812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

54812160 is an abundant number, since it is smaller than the sum of its proper divisors (158299200).

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

54812160 is a wasteful number, since it uses less digits than its factorization.

54812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54812160 is about 7403.5234854764. The cubic root of 54812160 is about 379.8618149451.

The spelling of 54812160 in words is "fifty-four million, eight hundred twelve thousand, one hundred sixty".