11743120 has 40 divisors (see below), whose sum is σ = 27464760. Its totient is φ = 4669440.

The previous prime is 11743117. The next prime is 11743181. The reversal of 11743120 is 2134711.

11743120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 5513104 = 2496^2 + 2348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18000 + ... + 18640.

It is an arithmetic number, because the mean of its divisors is an integer number (686619).

Almost surely, 2^11743120 is an apocalyptic number.

11743120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11743120 is an abundant number, since it is smaller than the sum of its proper divisors (15721640).

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

11743120 is a wasteful number, since it uses less digits than its factorization.

11743120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11743120 is about 3426.8236021132. The cubic root of 11743120 is about 227.2974165663.

Adding to 11743120 its reverse (2134711), we get a palindrome (13877831).

The spelling of 11743120 in words is "eleven million, seven hundred forty-three thousand, one hundred twenty".