11449856 has 80 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 4884480.

The previous prime is 11449843. The next prime is 11449859. The reversal of 11449856 is 65894411.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11449859) 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, 106955 + ... + 107061.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^11449856 is an apocalyptic number.

11449856 is a gapful number since it is divisible by the number (16) 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 11449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

11449856 is an abundant number, since it is smaller than the sum of its proper divisors (15066304).

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

11449856 is a wasteful number, since it uses less digits than its factorization.

11449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 11449856 is about 3383.7635851223. The cubic root of 11449856 is about 225.3893243057.

It can be divided in two parts, 11449 and 856, that multiplied together give a cube (9800344 = 214³).

The spelling of 11449856 in words is "eleven million, four hundred forty-nine thousand, eight hundred fifty-six".