11961664 has 56 divisors (see below), whose sum is σ = 27907488. Its totient is φ = 5015040.

The previous prime is 11961661. The next prime is 11961667. The reversal of 11961664 is 46616911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11961661) and next prime (11961667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8499 + ... + 9805.

It is an arithmetic number, because the mean of its divisors is an integer number (498348).

Almost surely, 2^11961664 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 11961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953744).

11961664 is an abundant number, since it is smaller than the sum of its proper divisors (15945824).

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

11961664 is a wasteful number, since it uses less digits than its factorization.

11961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1333 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 11961664 is about 3458.5638638024. The cubic root of 11961664 is about 228.6987897348.

The spelling of 11961664 in words is "eleven million, nine hundred sixty-one thousand, six hundred sixty-four".