11768120 has 128 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3594240.

The previous prime is 11768117. The next prime is 11768129. The reversal of 11768120 is 2186711.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11768120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192890 + ... + 192950.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^11768120 is an apocalyptic number.

11768120 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 11768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11768120 is an abundant number, since it is smaller than the sum of its proper divisors (21979720).

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

11768120 is a wasteful number, since it uses less digits than its factorization.

11768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 11768120 is about 3430.4693556422. The cubic root of 11768120 is about 227.4586005254.

The spelling of 11768120 in words is "eleven million, seven hundred sixty-eight thousand, one hundred twenty".