11793960 has 72 divisors (see below), whose sum is σ = 38543310. Its totient is φ = 3127680.

The previous prime is 11793959. The next prime is 11793961. The reversal of 11793960 is 6939711.

It is an interprime number because it is at equal distance from previous prime (11793959) and next prime (11793961).

It can be written as a sum of positive squares in 3 ways, for example, as 2022084 + 9771876 = 1422^2 + 3126^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11793961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65070 + ... + 65250.

Almost surely, 2^11793960 is an apocalyptic number.

11793960 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 11793960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19271655).

11793960 is an abundant number, since it is smaller than the sum of its proper divisors (26749350).

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

11793960 is a wasteful number, since it uses less digits than its factorization.

11793960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11793960 is about 3434.2335389429. The cubic root of 11793960 is about 227.6249605327.

The spelling of 11793960 in words is "eleven million, seven hundred ninety-three thousand, nine hundred sixty".