538656 has 48 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 172800.

The previous prime is 538651. The next prime is 538697. The reversal of 538656 is 656835.

It is a tau number, because it is divible by the number of its divisors (48).

Its product of digits (21600) is a multiple of the sum of its prime factors (225).

It is not an unprimeable number, because it can be changed into a prime (538651) by changing a digit.

538656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2886 + ... + 3066.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁵³⁸⁶⁵⁶ 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 538656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

538656 is an abundant number, since it is smaller than the sum of its proper divisors (928992).

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

538656 is a wasteful number, since it uses less digits than its factorization.

538656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 538656 is about 733.9318769477. The cubic root of 538656 is about 81.3649135329.

The spelling of 538656 in words is "five hundred thirty-eight thousand, six hundred fifty-six".