40766304 has 96 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 12621312.

The previous prime is 40766303. The next prime is 40766309. The reversal of 40766304 is 40366704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40766303) 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 15 ways as a sum of consecutive naturals, for example, 81447 + ... + 81945.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^40766304 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 40766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

40766304 is an abundant number, since it is smaller than the sum of its proper divisors (74145696).

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

40766304 is a wasteful number, since it uses less digits than its factorization.

40766304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 40766304 is about 6384.8495675309. The cubic root of 40766304 is about 344.1653252558.

The spelling of 40766304 in words is "forty million, seven hundred sixty-six thousand, three hundred four".