10819656 has 80 divisors (see below), whose sum is σ = 30927600. Its totient is φ = 3532896.

The previous prime is 10819649. The next prime is 10819661. The reversal of 10819656 is 65691801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10819656.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38091 + ... + 38373.

It is an arithmetic number, because the mean of its divisors is an integer number (386595).

Almost surely, 2^10819656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10819656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463800).

10819656 is an abundant number, since it is smaller than the sum of its proper divisors (20107944).

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

10819656 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10819655) it forms an eRAP, since the sums of their prime factors are consecutive (359 and 360).

10819656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10819656 is about 3289.3245507247. The cubic root of 10819656 is about 221.1759073939.

The spelling of 10819656 in words is "ten million, eight hundred nineteen thousand, six hundred fifty-six".