54870144 has 128 divisors (see below), whose sum is σ = 168912000. Its totient is φ = 15458304.

The previous prime is 54870139. The next prime is 54870187. The reversal of 54870144 is 44107845.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368182 + ... + 368330.

It is an arithmetic number, because the mean of its divisors is an integer number (1319625).

Almost surely, 2^54870144 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 54870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84456000).

54870144 is an abundant number, since it is smaller than the sum of its proper divisors (114041856).

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

54870144 is a wasteful number, since it uses less digits than its factorization.

54870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 54870144 is about 7407.4384236388. The cubic root of 54870144 is about 379.9957155565.

Adding to 54870144 its reverse (44107845), we get a palindrome (98977989).

The spelling of 54870144 in words is "fifty-four million, eight hundred seventy thousand, one hundred forty-four".