54648832 has 56 divisors (see below), whose sum is σ = 125035056. Its totient is φ = 23396352.

The previous prime is 54648821. The next prime is 54648833. The reversal of 54648832 is 23884645.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54648833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56868 + ... + 57820.

Almost surely, 2^54648832 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 54648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62517528).

54648832 is an abundant number, since it is smaller than the sum of its proper divisors (70386224).

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

54648832 is an frugal number, since it uses more digits than its factorization.

54648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 962 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 54648832 is about 7392.4848325850. The cubic root of 54648832 is about 379.4841384309.

The spelling of 54648832 in words is "fifty-four million, six hundred forty-eight thousand, eight hundred thirty-two".