11624120 has 32 divisors (see below), whose sum is σ = 26529120. Its totient is φ = 4583040.

The previous prime is 11624117. The next prime is 11624149. The reversal of 11624120 is 2142611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 4886.

It is an arithmetic number, because the mean of its divisors is an integer number (829035).

Almost surely, 2^11624120 is an apocalyptic number.

11624120 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 11624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264560).

11624120 is an abundant number, since it is smaller than the sum of its proper divisors (14905000).

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

11624120 is a wasteful number, since it uses less digits than its factorization.

11624120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11624120 is about 3409.4163723429. The cubic root of 11624120 is about 226.5270285649.

Adding to 11624120 its reverse (2142611), we get a palindrome (13766731).

The spelling of 11624120 in words is "eleven million, six hundred twenty-four thousand, one hundred twenty".