9870432 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2757120.

The previous prime is 9870409. The next prime is 9870449. The reversal of 9870432 is 2340789.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 9870393 and 9870402.

It is a congruent number.

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, 13369 + ... + 14087.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^9870432 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 9870432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

9870432 is an abundant number, since it is smaller than the sum of its proper divisors (20611488).

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

9870432 is a wasteful number, since it uses less digits than its factorization.

9870432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 9870432 is about 3141.7243672862. The cubic root of 9870432 is about 214.5089351367.

Adding to 9870432 its reverse (2340789), we get a palindrome (12211221).

The spelling of 9870432 in words is "nine million, eight hundred seventy thousand, four hundred thirty-two".