11967696 has 80 divisors (see below), whose sum is σ = 37011520. Its totient is φ = 3680640.

The previous prime is 11967679. The next prime is 11967707. The reversal of 11967696 is 69676911.

11967696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 4551 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (462644).

Almost surely, 2^11967696 is an apocalyptic number.

11967696 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 11967696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505760).

11967696 is an abundant number, since it is smaller than the sum of its proper divisors (25043824).

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

11967696 is a wasteful number, since it uses less digits than its factorization.

11967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 11967696 is about 3459.4357921488. The cubic root of 11967696 is about 228.7372258387.

The spelling of 11967696 in words is "eleven million, nine hundred sixty-seven thousand, six hundred ninety-six".