9870672 has 80 divisors (see below), whose sum is σ = 30176640. Its totient is φ = 2720256.

The previous prime is 9870661. The next prime is 9870673. The reversal of 9870672 is 2760789.

It is a self number, because there is not a number n which added to its sum of digits gives 9870672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9870673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9238 + ... + 10250.

It is an arithmetic number, because the mean of its divisors is an integer number (377208).

Almost surely, 2^9870672 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 9870672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088320).

9870672 is an abundant number, since it is smaller than the sum of its proper divisors (20305968).

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

9870672 is a wasteful number, since it uses less digits than its factorization.

9870672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 9870672 is about 3141.7625626390. The cubic root of 9870672 is about 214.5106737208.

The spelling of 9870672 in words is "nine million, eight hundred seventy thousand, six hundred seventy-two".