42896 has 20 divisors (see below), whose sum is σ = 95232. Its totient is φ = 18336.

The previous prime is 42863. The next prime is 42899. The reversal of 42896 is 69824.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42899) by changing a digit.

42896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 303.

2⁴²⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

42896 is an abundant number, since it is smaller than the sum of its proper divisors (52336).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616).

42896 is a wasteful number, since it uses less digits than its factorization.

42896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 42896 is about 207.1134954560. The cubic root of 42896 is about 35.0057133530.

The spelling of 42896 in words is "forty-two thousand, eight hundred ninety-six".