11320320 has 176 divisors, whose sum is σ = 40088448. Its totient is φ = 2703360.

The previous prime is 11320313. The next prime is 11320339. The reversal of 11320320 is 2302311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-4 number, since 4×11320320⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11320296 and 11320305.

It is a congruent number.

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, 168927 + ... + 168993.

Almost surely, 2^11320320 is an apocalyptic number.

11320320 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 11320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044224).

11320320 is an abundant number, since it is smaller than the sum of its proper divisors (28768128).

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

11320320 is a wasteful number, since it uses less digits than its factorization.

11320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11320320 is about 3364.5683229799. The cubic root of 11320320 is about 224.5361307450.

Adding to 11320320 its reverse (2302311), we get a palindrome (13622631).

Subtracting from 11320320 its reverse (2302311), we obtain a square (9018009 = 3003²).

The spelling of 11320320 in words is "eleven million, three hundred twenty thousand, three hundred twenty".