11681964 has 72 divisors (see below), whose sum is σ = 34082048. Its totient is φ = 3304800.

The previous prime is 11681959. The next prime is 11681981. The reversal of 11681964 is 46918611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37899 + ... + 38205.

Almost surely, 2^11681964 is an apocalyptic number.

11681964 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 11681964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17041024).

11681964 is an abundant number, since it is smaller than the sum of its proper divisors (22400084).

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

11681964 is a wasteful number, since it uses less digits than its factorization.

11681964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 470 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11681964 is about 3417.8888220655. Note that the first 4 decimals coincide. The cubic root of 11681964 is about 226.9021552998.

The spelling of 11681964 in words is "eleven million, six hundred eighty-one thousand, nine hundred sixty-four".