40608 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 13248.

The previous prime is 40597. The next prime is 40609. The reversal of 40608 is 80604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (40609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁴⁰⁶⁰⁸ is an apocalyptic number.

40608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

40608 is an abundant number, since it is smaller than the sum of its proper divisors (80352).

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

40608 is a wasteful number, since it uses less digits than its factorization.

40608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40608 is about 201.5142674850. The cubic root of 40608 is about 34.3719258959.

The spelling of 40608 in words is "forty thousand, six hundred eight".