11751040 has 128 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 3870720.

The previous prime is 11751037. The next prime is 11751041. The reversal of 11751040 is 4015711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11750999 and 11751017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11751041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192610 + ... + 192670.

It is an arithmetic number, because the mean of its divisors is an integer number (260865).

Almost surely, 2^11751040 is an apocalyptic number.

11751040 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 11751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695360).

11751040 is an abundant number, since it is smaller than the sum of its proper divisors (21639680).

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

11751040 is an equidigital number, since it uses as much as digits as its factorization.

11751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 11751040 is about 3427.9789964351. The cubic root of 11751040 is about 227.3485043801.

Adding to 11751040 its reverse (4015711), we get a palindrome (15766751).

The spelling of 11751040 in words is "eleven million, seven hundred fifty-one thousand, forty".