11275824 has 80 divisors (see below), whose sum is σ = 34227968. Its totient is φ = 3131136.

The previous prime is 11275813. The next prime is 11275829. The reversal of 11275824 is 42857211.

It is a junction number, because it is equal to n+sod(n) for n = 11275791 and 11275800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11979 + ... + 12885.

Almost surely, 2^11275824 is an apocalyptic number.

11275824 is a gapful number since it is divisible by the number (14) 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 11275824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113984).

11275824 is an abundant number, since it is smaller than the sum of its proper divisors (22952144).

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

11275824 is a wasteful number, since it uses less digits than its factorization.

11275824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 11275824 is about 3357.9493742461. The cubic root of 11275824 is about 224.2415548970.

The spelling of 11275824 in words is "eleven million, two hundred seventy-five thousand, eight hundred twenty-four".