11796960 has 96 divisors (see below), whose sum is σ = 42481152. Its totient is φ = 2695680.

The previous prime is 11796947. The next prime is 11796979. The reversal of 11796960 is 6969711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (442512).

Almost surely, 2^11796960 is an apocalyptic number.

11796960 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 11796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240576).

11796960 is an abundant number, since it is smaller than the sum of its proper divisors (30684192).

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

11796960 is a wasteful number, since it uses less digits than its factorization.

11796960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 11796960 is about 3434.6702898532. The cubic root of 11796960 is about 227.6442590265.

The spelling of 11796960 in words is "eleven million, seven hundred ninety-six thousand, nine hundred sixty".