11245824 has 72 divisors (see below), whose sum is σ = 33276320. Its totient is φ = 3746304.

The previous prime is 11245811. The next prime is 11245837. The reversal of 11245824 is 42854211.

It is an interprime number because it is at equal distance from previous prime (11245811) and next prime (11245837).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6099 + ... + 7725.

Almost surely, 2^11245824 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 11245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638160).

11245824 is an abundant number, since it is smaller than the sum of its proper divisors (22030496).

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

11245824 is an equidigital number, since it uses as much as digits as its factorization.

11245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1632 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 11245824 is about 3353.4793871440. The cubic root of 11245824 is about 224.0425089393.

The spelling of 11245824 in words is "eleven million, two hundred forty-five thousand, eight hundred twenty-four".