54432560 has 80 divisors (see below), whose sum is σ = 155781696. Its totient is φ = 17224704.

The previous prime is 54432541. The next prime is 54432563. The reversal of 54432560 is 6523445.

54432560 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 (80).

It is not an unprimeable number, because it can be changed into a prime (54432563) 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 15 ways as a sum of consecutive naturals, for example, 3542 + ... + 11018.

Almost surely, 2^54432560 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 54432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77890848).

54432560 is an abundant number, since it is smaller than the sum of its proper divisors (101349136).

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

54432560 is a wasteful number, since it uses less digits than its factorization.

54432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 54432560 is about 7377.8425030628. The cubic root of 54432560 is about 378.9828755174.

The spelling of 54432560 in words is "fifty-four million, four hundred thirty-two thousand, five hundred sixty".