42606816 has 192 divisors, whose sum is σ = 139345920. Its totient is φ = 11128320.

The previous prime is 42606779. The next prime is 42606827. The reversal of 42606816 is 61860624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600061 + ... + 600131.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^42606816 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 42606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

42606816 is an abundant number, since it is smaller than the sum of its proper divisors (96739104).

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

42606816 is a wasteful number, since it uses less digits than its factorization.

42606816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42606816 is about 6527.3896773519. The cubic root of 42606816 is about 349.2687207709.

The spelling of 42606816 in words is "forty-two million, six hundred six thousand, eight hundred sixteen".