11791120 has 40 divisors (see below), whose sum is σ = 29908800. Its totient is φ = 4287360.

The previous prime is 11791103. The next prime is 11791127. The reversal of 11791120 is 2119711.

11791120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11791091 and 11791100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11791127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5820 + ... + 7579.

It is an arithmetic number, because the mean of its divisors is an integer number (747720).

Almost surely, 2^11791120 is an apocalyptic number.

11791120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11791120 is an abundant number, since it is smaller than the sum of its proper divisors (18117680).

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

11791120 is a wasteful number, since it uses less digits than its factorization.

11791120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13423 (or 13417 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 22.

The square root of 11791120 is about 3433.8200302287. The cubic root of 11791120 is about 227.6066882763.

It can be divided in two parts, 11791 and 120, that added together give a palindrome (11911).

The spelling of 11791120 in words is "eleven million, seven hundred ninety-one thousand, one hundred twenty".