11885664 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3244032.

The previous prime is 11885651. The next prime is 11885693. The reversal of 11885664 is 46658811.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15072 + ... + 15840.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^11885664 is an apocalyptic number.

11885664 is a gapful number since it is divisible by the number (14) 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 11885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11885664 is an abundant number, since it is smaller than the sum of its proper divisors (25370016).

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

11885664 is a wasteful number, since it uses less digits than its factorization.

11885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 11885664 is about 3447.5591365486. The cubic root of 11885664 is about 228.2134043805.

The spelling of 11885664 in words is "eleven million, eight hundred eighty-five thousand, six hundred sixty-four".