40106768 has 80 divisors (see below), whose sum is σ = 88796400. Its totient is φ = 17418240.

The previous prime is 40106767. The next prime is 40106809. The reversal of 40106768 is 86760104.

40106768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5626384 + 34480384 = 2372^2 + 5872^2 .

It is not an unprimeable number, because it can be changed into a prime (40106767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367898 + ... + 368006.

It is an arithmetic number, because the mean of its divisors is an integer number (1109955).

Almost surely, 2^40106768 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 40106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44398200).

40106768 is an abundant number, since it is smaller than the sum of its proper divisors (48689632).

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

40106768 is a wasteful number, since it uses less digits than its factorization.

40106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 40106768 is about 6332.9904468584. The cubic root of 40106768 is about 342.2992035238.

The spelling of 40106768 in words is "forty million, one hundred six thousand, seven hundred sixty-eight".