9985164 has 48 divisors (see below), whose sum is σ = 27552000. Its totient is φ = 2753856.

The previous prime is 9985139. The next prime is 9985169. The reversal of 9985164 is 4615899.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9985169) 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, 387 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (574000).

Almost surely, 2^9985164 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 9985164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776000).

9985164 is an abundant number, since it is smaller than the sum of its proper divisors (17566836).

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

9985164 is a wasteful number, since it uses less digits than its factorization.

9985164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4140 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 9985164 is about 3159.9310119052. The cubic root of 9985164 is about 215.3368722933.

The spelling of 9985164 in words is "nine million, nine hundred eighty-five thousand, one hundred sixty-four".