10565160 has 64 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 2651136.

The previous prime is 10565131. The next prime is 10565173. The reversal of 10565160 is 6156501.

It is a super-2 number, since 2×10565160² = 223245211651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10565160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 2^10565160 is an apocalyptic number.

10565160 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 10565160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

10565160 is an abundant number, since it is smaller than the sum of its proper divisors (23001240).

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

10565160 is a wasteful number, since it uses less digits than its factorization.

10565160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10565160 is about 3250.4092050079. The cubic root of 10565160 is about 219.4279906242.

It can be divided in two parts, 1056 and 5160, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 10565160 in words is "ten million, five hundred sixty-five thousand, one hundred sixty".