11921968 has 20 divisors (see below), whose sum is σ = 24315160. Its totient is φ = 5647104.

The previous prime is 11921957. The next prime is 11921977. The reversal of 11921968 is 86912911.

11921968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19305 + ... + 19912.

It is an arithmetic number, because the mean of its divisors is an integer number (1215758).

Almost surely, 2^11921968 is an apocalyptic number.

It is an amenable number.

11921968 is an abundant number, since it is smaller than the sum of its proper divisors (12393192).

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

11921968 is a wasteful number, since it uses less digits than its factorization.

11921968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39244 (or 39238 counting only the distinct ones).

The product of its digits is 7776, while the sum is 37.

The square root of 11921968 is about 3452.8202965112. The cubic root of 11921968 is about 228.4455226232.

It can be divided in two parts, 1192 and 1968, that added together give a triangular number (3160 = T₇₉).

The spelling of 11921968 in words is "eleven million, nine hundred twenty-one thousand, nine hundred sixty-eight".