10789856 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4032000.

The previous prime is 10789843. The next prime is 10789871. The reversal of 10789856 is 65898701.

It is a happy number.

It is a super-3 number, since 3×10789856³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71381 + ... + 71531.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^10789856 is an apocalyptic number.

10789856 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 10789856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10789856 is an abundant number, since it is smaller than the sum of its proper divisors (16789024).

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

10789856 is a wasteful number, since it uses less digits than its factorization.

10789856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 10789856 is about 3284.7916220059. The cubic root of 10789856 is about 220.9726630260.

The spelling of 10789856 in words is "ten million, seven hundred eighty-nine thousand, eight hundred fifty-six".