42675216 has 80 divisors (see below), whose sum is σ = 117819840. Its totient is φ = 13271040.

The previous prime is 42675209. The next prime is 42675223. The reversal of 42675216 is 61257624.

42675216 = T₃₉₄ + T₃₉₅ + ... + T₆₈₁.

It is an interprime number because it is at equal distance from previous prime (42675209) and next prime (42675223).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66256 + ... + 66896.

It is an arithmetic number, because the mean of its divisors is an integer number (1472748).

Almost surely, 2^42675216 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 42675216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58909920).

42675216 is an abundant number, since it is smaller than the sum of its proper divisors (75144624).

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

42675216 is a wasteful number, since it uses less digits than its factorization.

42675216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 42675216 is about 6532.6270366523. The cubic root of 42675216 is about 349.4555234939.

The spelling of 42675216 in words is "forty-two million, six hundred seventy-five thousand, two hundred sixteen".