11007648 has 72 divisors (see below), whose sum is σ = 32180148. Its totient is φ = 3566592.

The previous prime is 11007643. The next prime is 11007649. The reversal of 11007648 is 84670011.

It is a happy number.

11007648 is a `hidden beast` number, since 1 + 10 + 0 + 7 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 2782224 = 2868^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11007643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10140 + ... + 11172.

Almost surely, 2^11007648 is an apocalyptic number.

11007648 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 11007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090074).

11007648 is an abundant number, since it is smaller than the sum of its proper divisors (21172500).

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

11007648 is a wasteful number, since it uses less digits than its factorization.

11007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11007648 is about 3317.7775693979. Note that the first 3 decimals coincide. The cubic root of 11007648 is about 222.4495395396.

Adding to 11007648 its reverse (84670011), we get a palindrome (95677659).

The spelling of 11007648 in words is "eleven million, seven thousand, six hundred forty-eight".