54681144 has 64 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 15521664.

The previous prime is 54681127. The next prime is 54681149. The reversal of 54681144 is 44118645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54681149) 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, 27082 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^54681144 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 54681144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

54681144 is an abundant number, since it is smaller than the sum of its proper divisors (102566856).

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

54681144 is a wasteful number, since it uses less digits than its factorization.

54681144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 54681144 is about 7394.6699723517. The cubic root of 54681144 is about 379.5589157265.

Adding to 54681144 its reverse (44118645), we get a palindrome (98799789).

The spelling of 54681144 in words is "fifty-four million, six hundred eighty-one thousand, one hundred forty-four".