40896 has 42 divisors (see below), whose sum is σ = 118872. Its totient is φ = 13440.

The previous prime is 40883. The next prime is 40897. The reversal of 40896 is 69804.

40896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40896.

It is not an unprimeable number, because it can be changed into a prime (40897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541 + ... + 611.

2⁴⁰⁸⁹⁶ 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 40896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59436).

40896 is an abundant number, since it is smaller than the sum of its proper divisors (77976).

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

40896 is a wasteful number, since it uses less digits than its factorization.

40896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

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

The square root of 40896 is about 202.2275945562. The cubic root of 40896 is about 34.4529920591.

Adding to 40896 its product of nonzero digits (1728), we get a palindrome (42624).

It can be divided in two parts, 4089 and 6, that added together give a triangular number (4095 = T₉₀).

The spelling of 40896 in words is "forty thousand, eight hundred ninety-six".