54606128 has 40 divisors (see below), whose sum is σ = 110528640. Its totient is φ = 26104320.

The previous prime is 54606119. The next prime is 54606131. The reversal of 54606128 is 82160645.

It is a junction number, because it is equal to n+sod(n) for n = 54606094 and 54606103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43526 + ... + 44762.

It is an arithmetic number, because the mean of its divisors is an integer number (2763216).

Almost surely, 2^54606128 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 54606128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55264320).

54606128 is an abundant number, since it is smaller than the sum of its proper divisors (55922512).

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

54606128 is a wasteful number, since it uses less digits than its factorization.

54606128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 54606128 is about 7389.5959294132. The cubic root of 54606128 is about 379.3852664574.

The spelling of 54606128 in words is "fifty-four million, six hundred six thousand, one hundred twenty-eight".