11829008 has 40 divisors (see below), whose sum is σ = 24509592. Its totient is φ = 5511168.

The previous prime is 11828989. The next prime is 11829023. The reversal of 11829008 is 80092811.

11829008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 753424 + 11075584 = 868^2 + 3328^2 .

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, 42566 + ... + 42842.

Almost surely, 2^11829008 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 11829008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254796).

11829008 is an abundant number, since it is smaller than the sum of its proper divisors (12680584).

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

11829008 is a wasteful number, since it uses less digits than its factorization.

11829008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 11829008 is about 3439.3324933772. The cubic root of 11829008 is about 227.8502145362.

The spelling of 11829008 in words is "eleven million, eight hundred twenty-nine thousand, eight".