11688048 has 60 divisors (see below), whose sum is σ = 34142160. Its totient is φ = 3725568.

The previous prime is 11688043. The next prime is 11688067. The reversal of 11688048 is 84088611.

It is a super-2 number, since 2×11688048² = 273220932100608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1548 + ... + 5076.

It is an arithmetic number, because the mean of its divisors is an integer number (569036).

Almost surely, 2^11688048 is an apocalyptic number.

11688048 is a gapful number since it is divisible by the number (18) 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 11688048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17071080).

11688048 is an abundant number, since it is smaller than the sum of its proper divisors (22454112).

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

11688048 is a wasteful number, since it uses less digits than its factorization.

11688048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 11688048 is about 3418.7787293126. The cubic root of 11688048 is about 226.9415388923.

It can be divided in two parts, 1168 and 8048, that added together give a square (9216 = 96²).

The spelling of 11688048 in words is "eleven million, six hundred eighty-eight thousand, forty-eight".