54549936 has 150 divisors (see below), whose sum is σ = 183874020. Its totient is φ = 15567552.

The previous prime is 54549919. The next prime is 54549941. The reversal of 54549936 is 63994545.

It is a junction number, because it is equal to n+sod(n) for n = 54549891 and 54549900.

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 29 ways as a sum of consecutive naturals, for example, 63075 + ... + 63933.

Almost surely, 2^54549936 is an apocalyptic number.

54549936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54549936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91937010).

54549936 is an abundant number, since it is smaller than the sum of its proper divisors (129324084).

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

54549936 is a wasteful number, since it uses less digits than its factorization.

54549936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 871 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 54549936 is about 7385.7928484354. The cubic root of 54549936 is about 379.2550873342.

The spelling of 54549936 in words is "fifty-four million, five hundred forty-nine thousand, nine hundred thirty-six".