54616032 has 120 divisors (see below), whose sum is σ = 169230600. Its totient is φ = 17231616.

The previous prime is 54615997. The next prime is 54616043. The reversal of 54616032 is 23061645.

54616032 is a `hidden beast` number, since 54 + 6 + 1 + 603 + 2 = 666.

54616032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54615987 and 54616005.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 48694 + ... + 49802.

It is an arithmetic number, because the mean of its divisors is an integer number (1410255).

Almost surely, 2^54616032 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 54616032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84615300).

54616032 is an abundant number, since it is smaller than the sum of its proper divisors (114614568).

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

54616032 is a wasteful number, since it uses less digits than its factorization.

54616032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54616032 is about 7390.2660303943. The cubic root of 54616032 is about 379.4082016399.

Adding to 54616032 its reverse (23061645), we get a palindrome (77677677).

The spelling of 54616032 in words is "fifty-four million, six hundred sixteen thousand, thirty-two".