54153344 has 64 divisors (see below), whose sum is σ = 129825600. Its totient is φ = 21980160.

The previous prime is 54153343. The next prime is 54153349. The reversal of 54153344 is 44335145.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (54153343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15434 + ... + 18614.

It is an arithmetic number, because the mean of its divisors is an integer number (2028525).

Almost surely, 2^54153344 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 54153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64912800).

54153344 is an abundant number, since it is smaller than the sum of its proper divisors (75672256).

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

54153344 is a wasteful number, since it uses less digits than its factorization.

54153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3209 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 54153344 is about 7358.8955693093. The cubic root of 54153344 is about 378.3337570856. Note that the first 3 decimals are identical.

Adding to 54153344 its reverse (44335145), we get a palindrome (98488489).

The spelling of 54153344 in words is "fifty-four million, one hundred fifty-three thousand, three hundred forty-four".