40766688 has 36 divisors (see below), whose sum is σ = 115931088. Its totient is φ = 13588800.

The previous prime is 40766683. The next prime is 40766689. The reversal of 40766688 is 88666704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40766683) 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 5 ways as a sum of consecutive naturals, for example, 70488 + ... + 71063.

It is an arithmetic number, because the mean of its divisors is an integer number (3220308).

Almost surely, 2^40766688 is an apocalyptic number.

40766688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40766688 is an abundant number, since it is smaller than the sum of its proper divisors (75164400).

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

40766688 is a wasteful number, since it uses less digits than its factorization.

40766688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141567 (or 141556 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 40766688 is about 6384.8796386463. The cubic root of 40766688 is about 344.1664058792.

The spelling of 40766688 in words is "forty million, seven hundred sixty-six thousand, six hundred eighty-eight".