54628641 has 8 divisors (see below), whose sum is σ = 80931360. Its totient is φ = 36419076.

The previous prime is 54628627. The next prime is 54628649. The reversal of 54628641 is 14682645.

54628641 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 8 + 641 = 666.

It is not a de Polignac number, because 54628641 - 2¹⁸ = 54366497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54628596 and 54628605.

It is not an unprimeable number, because it can be changed into a prime (54628649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011615 + ... + 1011668.

It is an arithmetic number, because the mean of its divisors is an integer number (10116420).

Almost surely, 2^54628641 is an apocalyptic number.

It is an amenable number.

54628641 is a deficient number, since it is larger than the sum of its proper divisors (26302719).

54628641 is a wasteful number, since it uses less digits than its factorization.

54628641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023292 (or 2023286 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 54628641 is about 7391.1190627672. The cubic root of 54628641 is about 379.4373969130.

The spelling of 54628641 in words is "fifty-four million, six hundred twenty-eight thousand, six hundred forty-one".