10785936 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 3011712.

The previous prime is 10785899. The next prime is 10785953. The reversal of 10785936 is 63958701.

It is a junction number, because it is equal to n+sod(n) for n = 10785894 and 10785903.

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, 15451 + ... + 16133.

Almost surely, 2^10785936 is an apocalyptic number.

10785936 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 10785936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

10785936 is an abundant number, since it is smaller than the sum of its proper divisors (21783408).

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

10785936 is a wasteful number, since it uses less digits than its factorization.

10785936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 10785936 is about 3284.1948785052. The cubic root of 10785936 is about 220.9458996858.

The spelling of 10785936 in words is "ten million, seven hundred eighty-five thousand, nine hundred thirty-six".