42662016 has 96 divisors (see below), whose sum is σ = 127097100. Its totient is φ = 13719552.

The previous prime is 42661981. The next prime is 42662021. The reversal of 42662016 is 61026624.

It is a happy number.

42662016 is a `hidden beast` number, since 4 + 26 + 620 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 360000 = 6504^2 + 600^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32770 + ... + 34046.

Almost surely, 2^42662016 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 42662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63548550).

42662016 is an abundant number, since it is smaller than the sum of its proper divisors (84435084).

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

42662016 is a wasteful number, since it uses less digits than its factorization.

42662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42662016 is about 6531.6166452112. The cubic root of 42662016 is about 349.4194893971.

The spelling of 42662016 in words is "forty-two million, six hundred sixty-two thousand, sixteen".