11667768 has 64 divisors (see below), whose sum is σ = 33600000. Its totient is φ = 3307392.

The previous prime is 11667731. The next prime is 11667793. The reversal of 11667768 is 86776611.

It is a super-2 number, since 2×11667768² = 272273620203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33258 + ... + 33606.

It is an arithmetic number, because the mean of its divisors is an integer number (525000).

Almost surely, 2^11667768 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 11667768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800000).

11667768 is an abundant number, since it is smaller than the sum of its proper divisors (21932232).

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

11667768 is a wasteful number, since it uses less digits than its factorization.

11667768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 11667768 is about 3415.8114702073. The cubic root of 11667768 is about 226.8102070438.

The spelling of 11667768 in words is "eleven million, six hundred sixty-seven thousand, seven hundred sixty-eight".