11365536 has 96 divisors (see below), whose sum is σ = 36747648. Its totient is φ = 2995200.

The previous prime is 11365513. The next prime is 11365559. The reversal of 11365536 is 63556311.

It is an interprime number because it is at equal distance from previous prime (11365513) and next prime (11365559).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11365536³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8086 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^11365536 is an apocalyptic number.

11365536 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 11365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373824).

11365536 is an abundant number, since it is smaller than the sum of its proper divisors (25382112).

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

11365536 is a wasteful number, since it uses less digits than its factorization.

11365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 11365536 is about 3371.2810621483. The cubic root of 11365536 is about 224.8346835034.

The spelling of 11365536 in words is "eleven million, three hundred sixty-five thousand, five hundred thirty-six".