40166568 has 72 divisors (see below), whose sum is σ = 117831870. Its totient is φ = 12355200.

The previous prime is 40166557. The next prime is 40166569. The reversal of 40166568 is 86566104.

It can be written as a sum of positive squares in 3 ways, for example, as 13972644 + 26193924 = 3738^2 + 5118^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40166568² = 3226706369797248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40166569) 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, 10518 + ... + 13818.

Almost surely, 2^40166568 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 40166568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58915935).

40166568 is an abundant number, since it is smaller than the sum of its proper divisors (77665302).

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

40166568 is a wasteful number, since it uses less digits than its factorization.

40166568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40166568 is about 6337.7099965208. The cubic root of 40166568 is about 342.4692440459.

The spelling of 40166568 in words is "forty million, one hundred sixty-six thousand, five hundred sixty-eight".