11991600 has 90 divisors (see below), whose sum is σ = 41626676. Its totient is φ = 3196800.

The previous prime is 11991583. The next prime is 11991601. The reversal of 11991600 is 619911.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (11991601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1935 + ... + 5265.

Almost surely, 2^11991600 is an apocalyptic number.

11991600 is a gapful number since it is divisible by the number (10) 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 11991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813338).

11991600 is an abundant number, since it is smaller than the sum of its proper divisors (29635076).

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

11991600 is a wasteful number, since it uses less digits than its factorization.

11991600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 11991600 is about 3462.8889673219. Note that the first 3 decimals coincide. The cubic root of 11991600 is about 228.8894160432.

It can be divided in two parts, 119 and 91600, that added together give a palindrome (91719).

The spelling of 11991600 in words is "eleven million, nine hundred ninety-one thousand, six hundred".