54519840 has 72 divisors (see below), whose sum is σ = 186053868. Its totient is φ = 14538240.

The previous prime is 54519809. The next prime is 54519841. The reversal of 54519840 is 4891545.

54519840 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 2 ways, for example, as 51322896 + 3196944 = 7164^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54519795 and 54519804.

It is not an unprimeable number, because it can be changed into a prime (54519841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17491 + ... + 20370.

Almost surely, 2^54519840 is an apocalyptic number.

It is an amenable number.

54519840 is an abundant number, since it is smaller than the sum of its proper divisors (131534028).

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

54519840 is a wasteful number, since it uses less digits than its factorization.

54519840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37882 (or 37871 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 54519840 is about 7383.7551422024. The cubic root of 54519840 is about 379.1853276382.

The spelling of 54519840 in words is "fifty-four million, five hundred nineteen thousand, eight hundred forty".