42166806 has 36 divisors (see below), whose sum is σ = 93083508. Its totient is φ = 12724800.

The previous prime is 42166801. The next prime is 42166807. The reversal of 42166806 is 60866124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42166801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 174846 + ... + 175086.

It is an arithmetic number, because the mean of its divisors is an integer number (2585653).

Almost surely, 2^42166806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42166806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46541754).

42166806 is an abundant number, since it is smaller than the sum of its proper divisors (50916702).

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

42166806 is a wasteful number, since it uses less digits than its factorization.

42166806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42166806 is about 6493.5973081182. The cubic root of 42166806 is about 348.0622328919.

Multiplying 42166806 by its product of nonzero digits (13824), we get a square (582913926144 = 763488²).

The spelling of 42166806 in words is "forty-two million, one hundred sixty-six thousand, eight hundred six".