11730824 has 32 divisors (see below), whose sum is σ = 25678080. Its totient is φ = 4919424.

The previous prime is 11730811. The next prime is 11730853. The reversal of 11730824 is 42803711.

It is a super-2 number, since 2×11730824² = 275224463437952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11730793 and 11730802.

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, 404 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (802440).

Almost surely, 2^11730824 is an apocalyptic number.

11730824 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 11730824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839040).

11730824 is an abundant number, since it is smaller than the sum of its proper divisors (13947256).

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

11730824 is a wasteful number, since it uses less digits than its factorization.

11730824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 11730824 is about 3425.0290509717. The cubic root of 11730824 is about 227.2180559115.

The spelling of 11730824 in words is "eleven million, seven hundred thirty thousand, eight hundred twenty-four".