10985536 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 4933632.

The previous prime is 10985531. The next prime is 10985539. The reversal of 10985536 is 63558901.

It is a junction number, because it is equal to n+sod(n) for n = 10985495 and 10985504.

It is not an unprimeable number, because it can be changed into a prime (10985531) 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, 24805 + ... + 25243.

Almost surely, 2^10985536 is an apocalyptic number.

10985536 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 10985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

10985536 is an abundant number, since it is smaller than the sum of its proper divisors (13154624).

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

10985536 is a wasteful number, since it uses less digits than its factorization.

10985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

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

The square root of 10985536 is about 3314.4435430401. The cubic root of 10985536 is about 222.3004885796.

The spelling of 10985536 in words is "ten million, nine hundred eighty-five thousand, five hundred thirty-six".