40857664 has 63 divisors (see below), whose sum is σ = 87998173. Its totient is φ = 18818048.

The previous prime is 40857643. The next prime is 40857667. The reversal of 40857664 is 46675804.

The square root of 40857664 is 6392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31809600 + 9048064 = 5640^2 + 3008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40857667) 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 8 ways as a sum of consecutive naturals, for example, 869289 + ... + 869335.

Almost surely, 2^40857664 is an apocalyptic number.

40857664 is the 6392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40857664

40857664 is an abundant number, since it is smaller than the sum of its proper divisors (47140509).

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

40857664 is an equidigital number, since it uses as much as digits as its factorization.

40857664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The cubic root of 40857664 is about 344.4222325678.

The spelling of 40857664 in words is "forty million, eight hundred fifty-seven thousand, six hundred sixty-four".