11960960 has 64 divisors (see below), whose sum is σ = 31212000. Its totient is φ = 4346880.

The previous prime is 11960951. The next prime is 11960981. The reversal of 11960960 is 6906911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6191 + ... + 7889.

Almost surely, 2^11960960 is an apocalyptic number.

11960960 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 11960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606000).

11960960 is an abundant number, since it is smaller than the sum of its proper divisors (19251040).

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

11960960 is a wasteful number, since it uses less digits than its factorization.

11960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 11960960 is about 3458.4620859567. The cubic root of 11960960 is about 228.6943029815.

The spelling of 11960960 in words is "eleven million, nine hundred sixty thousand, nine hundred sixty".