54628686 has 72 divisors (see below), whose sum is σ = 142884144. Its totient is φ = 14774400.

The previous prime is 54628661. The next prime is 54628709. The reversal of 54628686 is 68682645.

54628686 is a `hidden beast` number, since 546 + 28 + 6 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44886 + ... + 46086.

It is an arithmetic number, because the mean of its divisors is an integer number (1984502).

Almost surely, 2^54628686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54628686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71442072).

54628686 is an abundant number, since it is smaller than the sum of its proper divisors (88255458).

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

54628686 is a wasteful number, since it uses less digits than its factorization.

54628686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1232 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 54628686 is about 7391.1221069605. The cubic root of 54628686 is about 379.4375010994.

The spelling of 54628686 in words is "fifty-four million, six hundred twenty-eight thousand, six hundred eighty-six".