11745040 has 40 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 4450176.

The previous prime is 11745037. The next prime is 11745047. The reversal of 11745040 is 4054711.

11745040 = T₄₄₉ + T₄₅₀ + ... + T₅₄₃.

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

It is not an unprimeable number, because it can be changed into a prime (11745047) 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 7 ways as a sum of consecutive naturals, for example, 2344 + ... + 5383.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 2^11745040 is an apocalyptic number.

11745040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11745040 is an abundant number, since it is smaller than the sum of its proper divisors (17003120).

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

11745040 is a wasteful number, since it uses less digits than its factorization.

11745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 11745040 is about 3427.1037334753. The cubic root of 11745040 is about 227.3098035997.

Adding to 11745040 its reverse (4054711), we get a palindrome (15799751).

It can be divided in two parts, 1 and 1745040, that added together give a square (1745041 = 1321²).

The spelling of 11745040 in words is "eleven million, seven hundred forty-five thousand, forty".