40068 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 11232.

The previous prime is 40063. The next prime is 40087. The reversal of 40068 is 86004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40068.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730 + ... + 782.

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

2⁴⁰⁰⁶⁸ 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 40068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

40068 is an abundant number, since it is smaller than the sum of its proper divisors (80892).

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

40068 is a wasteful number, since it uses less digits than its factorization.

40068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

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

The square root of 40068 is about 200.1699278113. The cubic root of 40068 is about 34.2188876894.

The spelling of 40068 in words is "forty thousand, sixty-eight".