42967656 has 72 divisors (see below), whose sum is σ = 120464370. Its totient is φ = 13825728.

The previous prime is 42967651. The next prime is 42967679. The reversal of 42967656 is 65676924.

It can be written as a sum of positive squares in only one way, i.e., 28451556 + 14516100 = 5334^2 + 3810^2 .

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42967651) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 338265 + ... + 338391.

Almost surely, 2^42967656 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 42967656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232185).

42967656 is an abundant number, since it is smaller than the sum of its proper divisors (77496714).

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

42967656 is a wasteful number, since it uses less digits than its factorization.

42967656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 169 counting only the distinct ones).

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

The square root of 42967656 is about 6554.9718534865. The cubic root of 42967656 is about 350.2519437675.

The spelling of 42967656 in words is "forty-two million, nine hundred sixty-seven thousand, six hundred fifty-six".