11327648 has 48 divisors (see below), whose sum is σ = 24272640. Its totient is φ = 5184000.

The previous prime is 11327647. The next prime is 11327663. The reversal of 11327648 is 84672311.

11327648 = T₄₃₇ + T₄₃₈ + ... + T₅₃₂.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11327647) 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, 18548 + ... + 19148.

It is an arithmetic number, because the mean of its divisors is an integer number (505680).

Almost surely, 2^11327648 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 11327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136320).

11327648 is an abundant number, since it is smaller than the sum of its proper divisors (12944992).

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

11327648 is a wasteful number, since it uses less digits than its factorization.

11327648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 11327648 is about 3365.6571423721. The cubic root of 11327648 is about 224.5845700663.

Adding to 11327648 its reverse (84672311), we get a palindrome (95999959).

The spelling of 11327648 in words is "eleven million, three hundred twenty-seven thousand, six hundred forty-eight".