11442624 has 56 divisors (see below), whose sum is σ = 30803088. Its totient is φ = 3747840.

The previous prime is 11442611. The next prime is 11442643. The reversal of 11442624 is 42624411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11442594 and 11442603.

It is a congruent number.

It is an unprimeable number.

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, 11224 + ... + 12200.

Almost surely, 2^11442624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401544).

11442624 is an abundant number, since it is smaller than the sum of its proper divisors (19360464).

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

11442624 is an equidigital number, since it uses as much as digits as its factorization.

11442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 11442624 is about 3382.6947837486. The cubic root of 11442624 is about 225.3418605676.

11442624 divided by its sum of digits (24) gives a triangular number (476776 = T₉₇₆).

The spelling of 11442624 in words is "eleven million, four hundred forty-two thousand, six hundred twenty-four".