54965344 has 48 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 23151744.

The previous prime is 54965303. The next prime is 54965389. The reversal of 54965344 is 44356945.

It is a junction number, because it is equal to n+sod(n) for n = 54965297 and 54965306.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11137 + ... + 15295.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^54965344 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 54965344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

54965344 is an abundant number, since it is smaller than the sum of its proper divisors (70833056).

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

54965344 is a wasteful number, since it uses less digits than its factorization.

54965344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4227 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 54965344 is about 7413.8616118727. The cubic root of 54965344 is about 380.2153534628.

The spelling of 54965344 in words is "fifty-four million, nine hundred sixty-five thousand, three hundred forty-four".