9872016 has 80 divisors (see below), whose sum is σ = 31807488. Its totient is φ = 2563200.

The previous prime is 9872011. The next prime is 9872017. The reversal of 9872016 is 6102789.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9872011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 5031.

Almost surely, 2^9872016 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 9872016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903744).

9872016 is an abundant number, since it is smaller than the sum of its proper divisors (21935472).

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

9872016 is a wasteful number, since it uses less digits than its factorization.

9872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 9872016 is about 3141.9764480339. The cubic root of 9872016 is about 214.5204092708.

It can be divided in two parts, 987 and 2016, that added together give a palindrome (3003).

The spelling of 9872016 in words is "nine million, eight hundred seventy-two thousand, sixteen".