40064 has 16 divisors (see below), whose sum is σ = 80070. Its totient is φ = 19968.

The previous prime is 40063. The next prime is 40087. The reversal of 40064 is 46004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 64 = 200^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (40063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29 + ... + 284.

2⁴⁰⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

40064 is a deficient number, since it is larger than the sum of its proper divisors (40006).

40064 is an equidigital number, since it uses as much as digits as its factorization.

40064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40064 is about 200.1599360511. The cubic root of 40064 is about 34.2177489577.

Adding to 40064 its reverse (46004), we get a palindrome (86068).

It can be divided in two parts, 400 and 64, that multiplied together give a square (25600 = 160²).

The spelling of 40064 in words is "forty thousand, sixty-four", and thus it is an eban number.