54013860 has 72 divisors (see below), whose sum is σ = 165405240. Its totient is φ = 14266368.

The previous prime is 54013849. The next prime is 54013877. The reversal of 54013860 is 6831045.

54013860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 32558436 = 4632^2 + 5706^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18244 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^54013860 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 54013860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82702620).

54013860 is an abundant number, since it is smaller than the sum of its proper divisors (111391380).

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

54013860 is a wasteful number, since it uses less digits than its factorization.

54013860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54013860 is about 7349.4122213957. The cubic root of 54013860 is about 378.0086501758.

It can be divided in two parts, 5401 and 3860, that added together give a cube (9261 = 21³).

The spelling of 54013860 in words is "fifty-four million, thirteen thousand, eight hundred sixty".