54437040 has 180 divisors, whose sum is σ = 212803344. Its totient is φ = 12434688.

The previous prime is 54437039. The next prime is 54437051. The reversal of 54437040 is 4073445.

54437040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 54436995 and 54437013.

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 35 ways as a sum of consecutive naturals, for example, 34509 + ... + 36051.

Almost surely, 2^54437040 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 54437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106401672).

54437040 is an abundant number, since it is smaller than the sum of its proper divisors (158366304).

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

54437040 is a wasteful number, since it uses less digits than its factorization.

54437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 54437040 is about 7378.1461086102. The cubic root of 54437040 is about 378.9932724606.

The spelling of 54437040 in words is "fifty-four million, four hundred thirty-seven thousand, forty".