8210160 has 200 divisors, whose sum is σ = 32768736. Its totient is φ = 1866240.

The previous prime is 8210159. The next prime is 8210171. The reversal of 8210160 is 610128.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45270 + ... + 45450.

Almost surely, 2^8210160 is an apocalyptic number.

8210160 is a gapful number since it is divisible by the number (80) 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 8210160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384368).

8210160 is an abundant number, since it is smaller than the sum of its proper divisors (24558576).

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

8210160 is a wasteful number, since it uses less digits than its factorization.

8210160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

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

The square root of 8210160 is about 2865.3376764354. The cubic root of 8210160 is about 201.7362174634.

Adding to 8210160 its reverse (610128), we get a palindrome (8820288).

The spelling of 8210160 in words is "eight million, two hundred ten thousand, one hundred sixty".