11894688 has 120 divisors (see below), whose sum is σ = 37779588. Its totient is φ = 3649536.

The previous prime is 11894683. The next prime is 11894689. The reversal of 11894688 is 88649811.

11894688 is a `hidden beast` number, since 1 + 189 + 468 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 685584 = 3348^2 + 828^2 .

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 (11894683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33520 + ... + 33872.

Almost surely, 2^11894688 is an apocalyptic number.

11894688 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 11894688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889794).

11894688 is an abundant number, since it is smaller than the sum of its proper divisors (25884900).

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

11894688 is a wasteful number, since it uses less digits than its factorization.

11894688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 11894688 is about 3448.8676402553. The cubic root of 11894688 is about 228.2711455605.

The spelling of 11894688 in words is "eleven million, eight hundred ninety-four thousand, six hundred eighty-eight".