11691648 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 3649536.

The previous prime is 11691643. The next prime is 11691649. The reversal of 11691648 is 84619611.

It is a happy number.

11691648 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11691643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58653 + ... + 58851.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^11691648 is an apocalyptic number.

11691648 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 11691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

11691648 is an abundant number, since it is smaller than the sum of its proper divisors (25028352).

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

11691648 is a wasteful number, since it uses less digits than its factorization.

11691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11691648 is about 3419.3051925793. The cubic root of 11691648 is about 226.9648363575.

It can be divided in two parts, 116916 and 48, that added together give a square (116964 = 342²).

The spelling of 11691648 in words is "eleven million, six hundred ninety-one thousand, six hundred forty-eight".