40368 has 30 divisors (see below), whose sum is σ = 108004. Its totient is φ = 12992.

The previous prime is 40361. The next prime is 40387. The reversal of 40368 is 86304.

40368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40368.

It is not an unprimeable number, because it can be changed into a prime (40361) by changing a digit.

40368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1378 + ... + 1406.

2⁴⁰³⁶⁸ is an apocalyptic number.

40368 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 40368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54002).

40368 is an abundant number, since it is smaller than the sum of its proper divisors (67636).

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

40368 is a wasteful number, since it uses less digits than its factorization.

40368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40368 is about 200.9178936780. The cubic root of 40368 is about 34.3040774646.

The spelling of 40368 in words is "forty thousand, three hundred sixty-eight".