11538648 has 96 divisors (see below), whose sum is σ = 36138960. Its totient is φ = 3287040.

The previous prime is 11538647. The next prime is 11538649. The reversal of 11538648 is 84683511.

11538648 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 8 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (11538647) and next prime (11538649).

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 (11538647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13036 + ... + 13892.

Almost surely, 2^11538648 is an apocalyptic number.

11538648 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 11538648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069480).

11538648 is an abundant number, since it is smaller than the sum of its proper divisors (24600312).

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

11538648 is a wasteful number, since it uses less digits than its factorization.

11538648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 11538648 is about 3396.8585487182. The cubic root of 11538648 is about 225.9704454004.

It can be divided in two parts, 1153 and 8648, that added together give a square (9801 = 99²).

The spelling of 11538648 in words is "eleven million, five hundred thirty-eight thousand, six hundred forty-eight".