11624320 has 64 divisors (see below), whose sum is σ = 28531440. Its totient is φ = 4526080.

The previous prime is 11624303. The next prime is 11624323. The reversal of 11624320 is 2342611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11624323) 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 7 ways as a sum of consecutive naturals, for example, 26019 + ... + 26461.

Almost surely, 2^11624320 is an apocalyptic number.

11624320 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 11624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265720).

11624320 is an abundant number, since it is smaller than the sum of its proper divisors (16907120).

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

11624320 is an equidigital number, since it uses as much as digits as its factorization.

11624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 11624320 is about 3409.4457027499. The cubic root of 11624320 is about 226.5283277355.

Adding to 11624320 its reverse (2342611), we get a palindrome (13966931).

The spelling of 11624320 in words is "eleven million, six hundred twenty-four thousand, three hundred twenty".