54001344 has 112 divisors (see below), whose sum is σ = 152887680. Its totient is φ = 16773120.

The previous prime is 54001313. The next prime is 54001351. The reversal of 54001344 is 44310045.

It is a super-2 number, since 2×54001344² = 5832290307612672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54001344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412159 + ... + 412289.

Almost surely, 2^54001344 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 54001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

54001344 is an abundant number, since it is smaller than the sum of its proper divisors (98886336).

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

54001344 is a wasteful number, since it uses less digits than its factorization.

54001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54001344 is about 7348.5606753976. The cubic root of 54001344 is about 377.9794507459.

Adding to 54001344 its reverse (44310045), we get a palindrome (98311389).

It can be divided in two parts, 54001 and 344, that added together give a palindrome (54345).

The spelling of 54001344 in words is "fifty-four million, one thousand, three hundred forty-four".