54013320 has 96 divisors (see below), whose sum is σ = 178588800. Its totient is φ = 14153856.

The previous prime is 54013319. The next prime is 54013339. The reversal of 54013320 is 2331045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54013293 and 54013302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19969 + ... + 22511.

It is an arithmetic number, because the mean of its divisors is an integer number (1860300).

Almost surely, 2^54013320 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 54013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294400).

54013320 is an abundant number, since it is smaller than the sum of its proper divisors (124575480).

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

54013320 is a wasteful number, since it uses less digits than its factorization.

54013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54013320 is about 7349.3754836721. The cubic root of 54013320 is about 378.0073904661.

Adding to 54013320 its reverse (2331045), we get a palindrome (56344365).

The spelling of 54013320 in words is "fifty-four million, thirteen thousand, three hundred twenty".