11547648 has 132 divisors (see below), whose sum is σ = 38319840. Its totient is φ = 3280896.

The previous prime is 11547647. The next prime is 11547659. The reversal of 11547648 is 84674511.

It is a happy number.

11547648 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 7 + 648 = 666.

It is a super-3 number, since 3×11547648³ (a number of 22 digits) contains 333 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 (11547647) 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, 64423 + ... + 64601.

Almost surely, 2^11547648 is an apocalyptic number.

11547648 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 11547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19159920).

11547648 is an abundant number, since it is smaller than the sum of its proper divisors (26772192).

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

11547648 is a wasteful number, since it uses less digits than its factorization.

11547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 11547648 is about 3398.1830439221. The cubic root of 11547648 is about 226.0291814983.

The spelling of 11547648 in words is "eleven million, five hundred forty-seven thousand, six hundred forty-eight".