11643500 has 96 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 4032000.

The previous prime is 11643481. The next prime is 11643509. The reversal of 11643500 is 534611.

11643500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11643509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159464 + ... + 159536.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^11643500 is an apocalyptic number.

11643500 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 11643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

11643500 is an abundant number, since it is smaller than the sum of its proper divisors (17447380).

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

11643500 is a wasteful number, since it uses less digits than its factorization.

11643500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 11643500 is about 3412.2573173780. The cubic root of 11643500 is about 226.6528490231.

Subtracting from 11643500 its reverse (534611), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1164 and 3500, that added together give a palindrome (4664).

The spelling of 11643500 in words is "eleven million, six hundred forty-three thousand, five hundred".