10008160 has 48 divisors (see below), whose sum is σ = 24004512. Its totient is φ = 3942400.

The previous prime is 10008137. The next prime is 10008179. The reversal of 10008160 is 6180001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10920 + ... + 11800.

It is an arithmetic number, because the mean of its divisors is an integer number (500094).

Almost surely, 2^10008160 is an apocalyptic number.

10008160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002256).

10008160 is an abundant number, since it is smaller than the sum of its proper divisors (13996352).

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

10008160 is an equidigital number, since it uses as much as digits as its factorization.

10008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 10008160 is about 3163.5676063584. The cubic root of 10008160 is about 215.5020536946.

Adding to 10008160 its reverse (6180001), we get a palindrome (16188161).

The spelling of 10008160 in words is "ten million, eight thousand, one hundred sixty".