42095936 has 56 divisors (see below), whose sum is σ = 88894920. Its totient is φ = 19740672.

The previous prime is 42095929. The next prime is 42095941. The reversal of 42095936 is 63959024.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 39137536 = 1720^2 + 6256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42095936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68366 + ... + 68978.

Almost surely, 2^42095936 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 42095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44447460).

42095936 is an abundant number, since it is smaller than the sum of its proper divisors (46798984).

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

42095936 is a wasteful number, since it uses less digits than its factorization.

42095936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 42095936 is about 6488.1380996400. The cubic root of 42095936 is about 347.8671267952.

The spelling of 42095936 in words is "forty-two million, ninety-five thousand, nine hundred thirty-six".