40968 has 24 divisors (see below), whose sum is σ = 111150. Its totient is φ = 13632.

The previous prime is 40961. The next prime is 40973. The reversal of 40968 is 86904.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 1764 = 198^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (40961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213 + ... + 356.

2⁴⁰⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

40968 is an abundant number, since it is smaller than the sum of its proper divisors (70182).

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

40968 is a wasteful number, since it uses less digits than its factorization.

40968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40968 is about 202.4055335212. The cubic root of 40968 is about 34.4731990972.

It can be divided in two parts, 4096 and 8, that multiplied together give a 15-th power (32768 = 2¹⁵).

The spelling of 40968 in words is "forty thousand, nine hundred sixty-eight".