10417160 has 96 divisors (see below), whose sum is σ = 26879040. Its totient is φ = 3624192.

The previous prime is 10417117. The next prime is 10417171. The reversal of 10417160 is 6171401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 155447 + ... + 155513.

It is an arithmetic number, because the mean of its divisors is an integer number (279990).

Almost surely, 2^10417160 is an apocalyptic number.

10417160 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 10417160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439520).

10417160 is an abundant number, since it is smaller than the sum of its proper divisors (16461880).

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

10417160 is a wasteful number, since it uses less digits than its factorization.

10417160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 10417160 is about 3227.5625478060. The cubic root of 10417160 is about 218.3985638605.

Adding to 10417160 its reverse (6171401), we get a palindrome (16588561).

The spelling of 10417160 in words is "ten million, four hundred seventeen thousand, one hundred sixty".