42566656 has 44 divisors (see below), whose sum is σ = 92851920. Its totient is φ = 19343360.

The previous prime is 42566621. The next prime is 42566659. The reversal of 42566656 is 65666524.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (42566659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9375 + ... + 13153.

Almost surely, 2^42566656 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 42566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425960).

42566656 is an abundant number, since it is smaller than the sum of its proper divisors (50285264).

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

42566656 is a wasteful number, since it uses less digits than its factorization.

42566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3792 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 42566656 is about 6524.3126841070. The cubic root of 42566656 is about 349.1589492797.

It can be divided in two parts, 425 and 66656, that added together give a square (67081 = 259²).

The spelling of 42566656 in words is "forty-two million, five hundred sixty-six thousand, six hundred fifty-six".