42320616 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 11980800.

The previous prime is 42320609. The next prime is 42320623. The reversal of 42320616 is 61602324.

It is an interprime number because it is at equal distance from previous prime (42320609) and next prime (42320623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418966 + ... + 419066.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^42320616 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 42320616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

42320616 is an abundant number, since it is smaller than the sum of its proper divisors (81058584).

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

42320616 is a wasteful number, since it uses less digits than its factorization.

42320616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42320616 is about 6505.4297321545. The cubic root of 42320616 is about 348.4849231209.

The spelling of 42320616 in words is "forty-two million, three hundred twenty thousand, six hundred sixteen".