10206160 has 40 divisors (see below), whose sum is σ = 23960520. Its totient is φ = 4042752.

The previous prime is 10206149. The next prime is 10206187. The reversal of 10206160 is 6160201.

It can be written as a sum of positive squares in 4 ways, for example, as 620944 + 9585216 = 788^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 8476 + ... + 9604.

It is an arithmetic number, because the mean of its divisors is an integer number (599013).

Almost surely, 2^10206160 is an apocalyptic number.

10206160 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 10206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980260).

10206160 is an abundant number, since it is smaller than the sum of its proper divisors (13754360).

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

10206160 is a wasteful number, since it uses less digits than its factorization.

10206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10206160 is about 3194.7081243832. The cubic root of 10206160 is about 216.9139372877.

10206160 divided by its sum of digits (16) gives a triangular number (637885 = T₁₁₂₉).

Adding to 10206160 its reverse (6160201), we get a palindrome (16366361).

The spelling of 10206160 in words is "ten million, two hundred six thousand, one hundred sixty".