11753040 has 80 divisors (see below), whose sum is σ = 39247488. Its totient is φ = 2892288.

The previous prime is 11753011. The next prime is 11753041. The reversal of 11753040 is 4035711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11752998 and 11753016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11753041) 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 15 ways as a sum of consecutive naturals, for example, 1237 + ... + 5003.

Almost surely, 2^11753040 is an apocalyptic number.

11753040 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 11753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623744).

11753040 is an abundant number, since it is smaller than the sum of its proper divisors (27494448).

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

11753040 is a wasteful number, since it uses less digits than its factorization.

11753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11753040 is about 3428.2707010970. The cubic root of 11753040 is about 227.3614017128.

Adding to 11753040 its reverse (4035711), we get a palindrome (15788751).

The spelling of 11753040 in words is "eleven million, seven hundred fifty-three thousand, forty".