11956672 has 56 divisors (see below), whose sum is σ = 29216096. Its totient is φ = 4727808.

The previous prime is 11956657. The next prime is 11956673. The reversal of 11956672 is 27665911.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11956673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4798 + ... + 6850.

It is an arithmetic number, because the mean of its divisors is an integer number (521716).

Almost surely, 2^11956672 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 11956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608048).

11956672 is an abundant number, since it is smaller than the sum of its proper divisors (17259424).

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

11956672 is a wasteful number, since it uses less digits than its factorization.

11956672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 11956672 is about 3457.8421016582. The cubic root of 11956672 is about 228.6669707724. Note that the first 3 decimals are identical.

The spelling of 11956672 in words is "eleven million, nine hundred fifty-six thousand, six hundred seventy-two".