11968960 has 56 divisors (see below), whose sum is σ = 28840176. Its totient is φ = 4730880.

The previous prime is 11968951. The next prime is 11968961. The reversal of 11968960 is 6986911.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968961) 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, 35995 + ... + 36325.

Almost surely, 2^11968960 is an apocalyptic number.

11968960 is a gapful number since it is divisible by the number (10) 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 11968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420088).

11968960 is an abundant number, since it is smaller than the sum of its proper divisors (16871216).

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

11968960 is a wasteful number, since it uses less digits than its factorization.

11968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 11968960 is about 3459.6184760751. The cubic root of 11968960 is about 228.7452784517.

The spelling of 11968960 in words is "eleven million, nine hundred sixty-eight thousand, nine hundred sixty".