54034432 has 64 divisors (see below), whose sum is σ = 115603740. Its totient is φ = 25165824.

The previous prime is 54034417. The next prime is 54034439. The reversal of 54034432 is 23443045.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 802816 = 7296^2 + 896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 54034397 and 54034406.

It is not an unprimeable number, because it can be changed into a prime (54034439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557008 + ... + 557104.

Almost surely, 2^54034432 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 54034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57801870).

54034432 is an abundant number, since it is smaller than the sum of its proper divisors (61569308).

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

54034432 is an frugal number, since it uses more digits than its factorization.

54034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 54034432 is about 7350.8116558649. The cubic root of 54034432 is about 378.0566341988.

Adding to 54034432 its reverse (23443045), we get a palindrome (77477477).

The spelling of 54034432 in words is "fifty-four million, thirty-four thousand, four hundred thirty-two".