11886672 has 80 divisors (see below), whose sum is σ = 37176192. Its totient is φ = 3194880.

The previous prime is 11886661. The next prime is 11886691. The reversal of 11886672 is 27668811.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11886672.

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, 4672 + ... + 6752.

Almost surely, 2^11886672 is an apocalyptic number.

11886672 is a gapful number since it is divisible by the number (12) 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 11886672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588096).

11886672 is an abundant number, since it is smaller than the sum of its proper divisors (25289520).

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

11886672 is a wasteful number, since it uses less digits than its factorization.

11886672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 11886672 is about 3447.7053238350. The cubic root of 11886672 is about 228.2198556428.

The spelling of 11886672 in words is "eleven million, eight hundred eighty-six thousand, six hundred seventy-two".