54658638 has 80 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 16879104.

The previous prime is 54658619. The next prime is 54658651. The reversal of 54658638 is 83685645.

54658638 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 8 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54658593 and 54658602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244995 + ... + 245217.

It is an arithmetic number, because the mean of its divisors is an integer number (1646568).

Almost surely, 2^54658638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54658638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

54658638 is an abundant number, since it is smaller than the sum of its proper divisors (77066802).

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

54658638 is a wasteful number, since it uses less digits than its factorization.

54658638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 54658638 is about 7393.1480439661. The cubic root of 54658638 is about 379.5068348532.

The spelling of 54658638 in words is "fifty-four million, six hundred fifty-eight thousand, six hundred thirty-eight".