42657696 has 72 divisors (see below), whose sum is σ = 123030180. Its totient is φ = 14017536.

The previous prime is 42657691. The next prime is 42657731. The reversal of 42657696 is 69675624.

It can be written as a sum of positive squares in 2 ways, for example, as 36723600 + 5934096 = 6060^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42657691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20010 + ... + 22038.

Almost surely, 2^42657696 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 42657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61515090).

42657696 is an abundant number, since it is smaller than the sum of its proper divisors (80372484).

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

42657696 is a wasteful number, since it uses less digits than its factorization.

42657696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2107 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 42657696 is about 6531.2859377002. The cubic root of 42657696 is about 349.4076948057.

The spelling of 42657696 in words is "forty-two million, six hundred fifty-seven thousand, six hundred ninety-six".