42806016 has 144 divisors (see below), whose sum is σ = 138337920. Its totient is φ = 12948480.

The previous prime is 42805999. The next prime is 42806041. The reversal of 42806016 is 61060824.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 75751 + ... + 76313.

It is an arithmetic number, because the mean of its divisors is an integer number (960680).

Almost surely, 2^42806016 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 42806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69168960).

42806016 is an abundant number, since it is smaller than the sum of its proper divisors (95531904).

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

42806016 is a wasteful number, since it uses less digits than its factorization.

42806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42806016 is about 6542.6306635787. The cubic root of 42806016 is about 349.8121876721.

It can be divided in two parts, 4280 and 6016, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 42806016 in words is "forty-two million, eight hundred six thousand, sixteen".