42896736 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 14152320.

The previous prime is 42896731. The next prime is 42896753. The reversal of 42896736 is 63769824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42896691 and 42896700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42896731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112995 + ... + 113373.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 2^42896736 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 42896736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

42896736 is an abundant number, since it is smaller than the sum of its proper divisors (83506464).

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

42896736 is a wasteful number, since it uses less digits than its factorization.

42896736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42896736 is about 6549.5599852204. The cubic root of 42896736 is about 350.0591355862.

It can be divided in two parts, 4289 and 6736, that added together give a square (11025 = 105²).

The spelling of 42896736 in words is "forty-two million, eight hundred ninety-six thousand, seven hundred thirty-six".