11456040 has 32 divisors (see below), whose sum is σ = 34368480. Its totient is φ = 3054912.

The previous prime is 11456023. The next prime is 11456041. The reversal of 11456040 is 4065411.

11456040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11455998 and 11456016.

It is not an unprimeable number, because it can be changed into a prime (11456041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47614 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (1074015).

Almost surely, 2^11456040 is an apocalyptic number.

11456040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456040 is an abundant number, since it is smaller than the sum of its proper divisors (22912440).

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

11456040 is a wasteful number, since it uses less digits than its factorization.

11456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95481 (or 95477 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11456040 is about 3384.6772371971. The cubic root of 11456040 is about 225.4298941530.

The spelling of 11456040 in words is "eleven million, four hundred fifty-six thousand, forty".