11796120 has 192 divisors, whose sum is σ = 45527040. Its totient is φ = 2592000.

The previous prime is 11796101. The next prime is 11796121. The reversal of 11796120 is 2169711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11796121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78045 + ... + 78195.

It is an arithmetic number, because the mean of its divisors is an integer number (237120).

Almost surely, 2^11796120 is an apocalyptic number.

11796120 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 11796120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763520).

11796120 is an abundant number, since it is smaller than the sum of its proper divisors (33730920).

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

11796120 is a wasteful number, since it uses less digits than its factorization.

11796120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11796120 is about 3434.5480051966. The cubic root of 11796120 is about 227.6388557781.

The spelling of 11796120 in words is "eleven million, seven hundred ninety-six thousand, one hundred twenty".