10833936 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 3386880.

The previous prime is 10833931. The next prime is 10833937. The reversal of 10833936 is 63933801.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10833897 and 10833906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10833931) 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 15 ways as a sum of consecutive naturals, for example, 59766 + ... + 59946.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^10833936 is an apocalyptic number.

10833936 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 10833936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

10833936 is an abundant number, since it is smaller than the sum of its proper divisors (18955824).

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

10833936 is a wasteful number, since it uses less digits than its factorization.

10833936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 10833936 is about 3291.4944933875. The cubic root of 10833936 is about 221.2731687570.

The spelling of 10833936 in words is "ten million, eight hundred thirty-three thousand, nine hundred thirty-six".