11496040 has 64 divisors (see below), whose sum is σ = 27279360. Its totient is φ = 4354560.

The previous prime is 11496019. The next prime is 11496047. The reversal of 11496040 is 4069411.

It is a junction number, because it is equal to n+sod(n) for n = 11495996 and 11496014.

It is not an unprimeable number, because it can be changed into a prime (11496047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90457 + ... + 90583.

It is an arithmetic number, because the mean of its divisors is an integer number (426240).

Almost surely, 2^11496040 is an apocalyptic number.

11496040 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 11496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639680).

11496040 is an abundant number, since it is smaller than the sum of its proper divisors (15783320).

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

11496040 is a wasteful number, since it uses less digits than its factorization.

11496040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 11496040 is about 3390.5810711440. The cubic root of 11496040 is about 225.6919603131.

The spelling of 11496040 in words is "eleven million, four hundred ninety-six thousand, forty".