42166656 has 240 divisors, whose sum is σ = 147733740. Its totient is φ = 11902464.

The previous prime is 42166627. The next prime is 42166669. The reversal of 42166656 is 65666124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42166656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507991 + ... + 508073.

Almost surely, 2^42166656 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 42166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73866870).

42166656 is an abundant number, since it is smaller than the sum of its proper divisors (105567084).

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

42166656 is an equidigital number, since it uses as much as digits as its factorization.

42166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 42166656 is about 6493.5857582695. The cubic root of 42166656 is about 348.0618201707.

The spelling of 42166656 in words is "forty-two million, one hundred sixty-six thousand, six hundred fifty-six".