40864 has 12 divisors (see below), whose sum is σ = 80514. Its totient is φ = 20416.

The previous prime is 40853. The next prime is 40867. The reversal of 40864 is 46804.

40864 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 only one way, i.e., 32400 + 8464 = 180^2 + 92^2 .

It is a d-powerful number, because it can be written as 4³ + 0 + 8⁵ + 6⁵ + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (40867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 607 + ... + 670.

2⁴⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

40864 is a deficient number, since it is larger than the sum of its proper divisors (39650).

40864 is a wasteful number, since it uses less digits than its factorization.

40864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 40864 is about 202.1484602959. The cubic root of 40864 is about 34.4440035400. Note that the first 3 decimals are identical.

The spelling of 40864 in words is "forty thousand, eight hundred sixty-four".