11215320 has 64 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 2832768.

The previous prime is 11215307. The next prime is 11215327. The reversal of 11215320 is 2351211.

It is a super-3 number, since 3×11215320³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11215320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11215327) by changing a digit.

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, 180 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 2^11215320 is an apocalyptic number.

11215320 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 11215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

11215320 is an abundant number, since it is smaller than the sum of its proper divisors (24208680).

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

11215320 is a wasteful number, since it uses less digits than its factorization.

11215320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11215320 is about 3348.9281867487. The cubic root of 11215320 is about 223.8397557155.

Adding to 11215320 its reverse (2351211), we get a palindrome (13566531).

It can be divided in two parts, 1121 and 5320, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 11215320 in words is "eleven million, two hundred fifteen thousand, three hundred twenty".