1133856 has 72 divisors (see below), whose sum is σ = 3354624. Its totient is φ = 362880.

The previous prime is 1133851. The next prime is 1133857. The reversal of 1133856 is 6583311.

1133856 = T₆₅ + T₆₆ + ... + T₁₉₁.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8865 + ... + 8991.

It is an arithmetic number, because the mean of its divisors is an integer number (46592).

2^1133856 is an apocalyptic number.

1133856 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 1133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677312).

1133856 is an abundant number, since it is smaller than the sum of its proper divisors (2220768).

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

1133856 is a wasteful number, since it uses less digits than its factorization.

1133856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1133856 is about 1064.8267464710. The cubic root of 1133856 is about 104.2763851577.

It can be divided in two parts, 113 and 3856, that added together give a square (3969 = 63²).

The spelling of 1133856 in words is "one million, one hundred thirty-three thousand, eight hundred fifty-six".