10855936 has 80 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 4276224.

The previous prime is 10855927. The next prime is 10855967. The reversal of 10855936 is 63955801.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10855895 and 10855904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46476 + ... + 46708.

Almost surely, 2^10855936 is an apocalyptic number.

10855936 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 10855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

10855936 is an abundant number, since it is smaller than the sum of its proper divisors (15954848).

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

10855936 is an equidigital number, since it uses as much as digits as its factorization.

10855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 10855936 is about 3294.8347454766. The cubic root of 10855936 is about 221.4228440717.

It can be divided in two parts, 1085 and 5936, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 10855936 in words is "ten million, eight hundred fifty-five thousand, nine hundred thirty-six".