11671968 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3029760.

The previous prime is 11671967. The next prime is 11671973. The reversal of 11671968 is 86917611.

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

It is not an unprimeable number, because it can be changed into a prime (11671967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6603 + ... + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 2^11671968 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 11671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

11671968 is an abundant number, since it is smaller than the sum of its proper divisors (26551392).

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

11671968 is a wasteful number, since it uses less digits than its factorization.

11671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 11671968 is about 3416.4262029202. The cubic root of 11671968 is about 226.8374184348.

The spelling of 11671968 in words is "eleven million, six hundred seventy-one thousand, nine hundred sixty-eight".