9995160 has 128 divisors (see below), whose sum is σ = 34951680. Its totient is φ = 2239488.

The previous prime is 9995149. The next prime is 9995213. The reversal of 9995160 is 615999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61239 + ... + 61401.

It is an arithmetic number, because the mean of its divisors is an integer number (273060).

Almost surely, 2^9995160 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 9995160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475840).

9995160 is an abundant number, since it is smaller than the sum of its proper divisors (24956520).

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

9995160 is a wasteful number, since it uses less digits than its factorization.

9995160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 9995160 is about 3161.5122963544. The cubic root of 9995160 is about 215.4087051810.

It can be divided in two parts, 99 and 95160, that added together give a palindrome (95259).

The spelling of 9995160 in words is "nine million, nine hundred ninety-five thousand, one hundred sixty".