11883648 has 64 divisors (see below), whose sum is σ = 36083520. Its totient is φ = 3394560.

The previous prime is 11883647. The next prime is 11883653. The reversal of 11883648 is 84638811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11883643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (563805).

Almost surely, 2^11883648 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 11883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041760).

11883648 is an abundant number, since it is smaller than the sum of its proper divisors (24199872).

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

11883648 is an equidigital number, since it uses as much as digits as its factorization.

11883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4433 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 11883648 is about 3447.2667433780. The cubic root of 11883648 is about 228.2005007615.

The spelling of 11883648 in words is "eleven million, eight hundred eighty-three thousand, six hundred forty-eight".