11667936 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3280896.

The previous prime is 11667917. The next prime is 11667937. The reversal of 11667936 is 63976611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11667936² = 272281461000192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11667894 and 11667903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667937) 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, 65095 + ... + 65273.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^11667936 is an apocalyptic number.

11667936 is a gapful number since it is divisible by the number (16) 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 11667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

11667936 is an abundant number, since it is smaller than the sum of its proper divisors (23894304).

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

11667936 is a wasteful number, since it uses less digits than its factorization.

11667936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 11667936 is about 3415.8360616400. The cubic root of 11667936 is about 226.8112956248.

The spelling of 11667936 in words is "eleven million, six hundred sixty-seven thousand, nine hundred thirty-six".