56658 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 15120.

The previous prime is 56633. The next prime is 56659. The reversal of 56658 is 85665.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56659) by changing a digit.

56658 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁶⁶⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

56658 is an abundant number, since it is smaller than the sum of its proper divisors (81582).

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

56658 is a wasteful number, since it uses less digits than its factorization.

56658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 7200, while the sum is 30.

The square root of 56658 is about 238.0294099476. The cubic root of 56658 is about 38.4078868349.

The spelling of 56658 in words is "fifty-six thousand, six hundred fifty-eight".