10819936 has 48 divisors (see below), whose sum is σ = 22686048. Its totient is φ = 5068800.

The previous prime is 10819891. The next prime is 10819937. The reversal of 10819936 is 63991801.

It is a junction number, because it is equal to n+sod(n) for n = 10819895 and 10819904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819937) 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, 44776 + ... + 45016.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^10819936 is an apocalyptic number.

10819936 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 10819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343024).

10819936 is an abundant number, since it is smaller than the sum of its proper divisors (11866112).

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

10819936 is a wasteful number, since it uses less digits than its factorization.

10819936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 10819936 is about 3289.3671123789. The cubic root of 10819936 is about 221.1778153017.

The spelling of 10819936 in words is "ten million, eight hundred nineteen thousand, nine hundred thirty-six".