54003840 has 128 divisors (see below), whose sum is σ = 187859520. Its totient is φ = 13086720.

The previous prime is 54003823. The next prime is 54003841. The reversal of 54003840 is 4830045.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54003840.

It is not an unprimeable number, because it can be changed into a prime (54003841) by changing a digit.

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, 19842 + ... + 22398.

Almost surely, 2^54003840 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 54003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929760).

54003840 is an abundant number, since it is smaller than the sum of its proper divisors (133855680).

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

54003840 is a wasteful number, since it uses less digits than its factorization.

54003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54003840 is about 7348.7305026106. The cubic root of 54003840 is about 377.9852741947.

Adding to 54003840 its reverse (4830045), we get a palindrome (58833885).

The spelling of 54003840 in words is "fifty-four million, three thousand, eight hundred forty".