11086752 has 48 divisors (see below), whose sum is σ = 29665440. Its totient is φ = 3624192.

The previous prime is 11086741. The next prime is 11086753. The reversal of 11086752 is 25768011.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11086753) 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, 3999 + ... + 6177.

It is an arithmetic number, because the mean of its divisors is an integer number (618030).

Almost surely, 2^11086752 is an apocalyptic number.

11086752 is a gapful number since it is divisible by the number (12) 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 11086752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832720).

11086752 is an abundant number, since it is smaller than the sum of its proper divisors (18578688).

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

11086752 is a wasteful number, since it uses less digits than its factorization.

11086752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11086752 is about 3329.6774618572. The cubic root of 11086752 is about 222.9811294669.

The spelling of 11086752 in words is "eleven million, eighty-six thousand, seven hundred fifty-two".