11829320 has 32 divisors (see below), whose sum is σ = 27268920. Its totient is φ = 4615680.

The previous prime is 11829313. The next prime is 11829329. The reversal of 11829320 is 2392811.

It can be written as a sum of positive squares in 4 ways, for example, as 8421604 + 3407716 = 2902^2 + 1846^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11829320.

It is not an unprimeable number, because it can be changed into a prime (11829329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967 + ... + 5246.

Almost surely, 2^11829320 is an apocalyptic number.

11829320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11829320 is an abundant number, since it is smaller than the sum of its proper divisors (15439600).

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

11829320 is a wasteful number, since it uses less digits than its factorization.

11829320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11829320 is about 3439.3778507166. The cubic root of 11829320 is about 227.8522177654.

The spelling of 11829320 in words is "eleven million, eight hundred twenty-nine thousand, three hundred twenty".