40065768 has 48 divisors (see below), whose sum is σ = 109008900. Its totient is φ = 13294080.

The previous prime is 40065763. The next prime is 40065769. The reversal of 40065768 is 86756004.

It is a happy number.

40065768 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 2 ways, for example, as 36216324 + 3849444 = 6018^2 + 1962^2 .

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 (40065763) 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 11 ways as a sum of consecutive naturals, for example, 16198 + ... + 18506.

Almost surely, 2^40065768 is an apocalyptic number.

It is an amenable number.

40065768 is an abundant number, since it is smaller than the sum of its proper divisors (68943132).

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

40065768 is a wasteful number, since it uses less digits than its factorization.

40065768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40065768 is about 6329.7526018005. The cubic root of 40065768 is about 342.1825228650.

The spelling of 40065768 in words is "forty million, sixty-five thousand, seven hundred sixty-eight".