40964 has 36 divisors (see below), whose sum is σ = 95760. Its totient is φ = 15120.

The previous prime is 40961. The next prime is 40973. The reversal of 40964 is 46904.

40964 is nontrivially palindromic in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40964.

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 11 ways as a sum of consecutive naturals, for example, 2147 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2⁴⁰⁹⁶⁴ is an apocalyptic number.

40964 is a gapful number since it is divisible by the number (44) 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 40964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

40964 is an abundant number, since it is smaller than the sum of its proper divisors (54796).

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

40964 is a wasteful number, since it uses less digits than its factorization.

40964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40964 is about 202.3956521272. The cubic root of 40964 is about 34.4720771054.

It can be divided in two parts, 4096 and 4, that multiplied together give a 14-th power (16384 = 2¹⁴).

The spelling of 40964 in words is "forty thousand, nine hundred sixty-four".