11662768 has 40 divisors (see below), whose sum is σ = 24873408. Its totient is φ = 5263872.

The previous prime is 11662711. The next prime is 11662769. The reversal of 11662768 is 86726611.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11662769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9180 + ... + 10372.

Almost surely, 2^11662768 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 11662768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436704).

11662768 is an abundant number, since it is smaller than the sum of its proper divisors (13210640).

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

11662768 is a wasteful number, since it uses less digits than its factorization.

11662768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 11662768 is about 3415.0795012708. The cubic root of 11662768 is about 226.7778040151. Note that the first 3 decimals are identical.

The spelling of 11662768 in words is "eleven million, six hundred sixty-two thousand, seven hundred sixty-eight".