10165536 has 72 divisors (see below), whose sum is σ = 29562624. Its totient is φ = 3312000.

The previous prime is 10165531. The next prime is 10165543. The reversal of 10165536 is 63556101.

It is a happy number.

10165536 is a `hidden beast` number, since 1 + 0 + 1 + 655 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10165531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13161 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (410592).

Almost surely, 2^10165536 is an apocalyptic number.

10165536 is a gapful number since it is divisible by the number (16) 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 10165536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781312).

10165536 is an abundant number, since it is smaller than the sum of its proper divisors (19397088).

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

10165536 is a wasteful number, since it uses less digits than its factorization.

10165536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10165536 is about 3188.3437706747. The cubic root of 10165536 is about 216.6257574308.

It can be divided in two parts, 10165 and 536, that added together give a palindrome (10701).

The spelling of 10165536 in words is "ten million, one hundred sixty-five thousand, five hundred thirty-six".