11829760 has 40 divisors (see below), whose sum is σ = 28369836. Its totient is φ = 4730880.

The previous prime is 11829749. The next prime is 11829781. The reversal of 11829760 is 6792811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 215296 = 3408^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250 + ... + 4870.

Almost surely, 2^11829760 is an apocalyptic number.

11829760 is a gapful number since it is divisible by the number (10) 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 11829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184918).

11829760 is an abundant number, since it is smaller than the sum of its proper divisors (16540076).

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

11829760 is an frugal number, since it uses more digits than its factorization.

11829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11829760 is about 3439.4418151787. The cubic root of 11829760 is about 227.8550427723.

The spelling of 11829760 in words is "eleven million, eight hundred twenty-nine thousand, seven hundred sixty".