10208160 has 192 divisors, whose sum is σ = 38102400. Its totient is φ = 2543616.

The previous prime is 10208137. The next prime is 10208161. The reversal of 10208160 is 6180201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10208161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73371 + ... + 73509.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^10208160 is an apocalyptic number.

10208160 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 10208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

10208160 is an abundant number, since it is smaller than the sum of its proper divisors (27894240).

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

10208160 is a wasteful number, since it uses less digits than its factorization.

10208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10208160 is about 3195.0211266907. The cubic root of 10208160 is about 216.9281051869.

Adding to 10208160 its reverse (6180201), we get a palindrome (16388361).

It can be divided in two parts, 1020 and 8160, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 10208160 in words is "ten million, two hundred eight thousand, one hundred sixty".