40688768 has 32 divisors (see below), whose sum is σ = 81730560. Its totient is φ = 20176128.

The previous prime is 40688761. The next prime is 40688777. The reversal of 40688768 is 86788604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (40688761) 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 3 ways as a sum of consecutive naturals, for example, 15005 + ... + 17507.

It is an arithmetic number, because the mean of its divisors is an integer number (2554080).

Almost surely, 2^40688768 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 40688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40865280).

40688768 is an abundant number, since it is smaller than the sum of its proper divisors (41041792).

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

40688768 is a wasteful number, since it uses less digits than its factorization.

40688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 40688768 is about 6378.7748039886. The cubic root of 40688768 is about 343.9469902092.

The spelling of 40688768 in words is "forty million, six hundred eighty-eight thousand, seven hundred sixty-eight".