10985952 has 72 divisors (see below), whose sum is σ = 30531816. Its totient is φ = 3458304.

The previous prime is 10985939. The next prime is 10985959. The reversal of 10985952 is 25958901.

It is a super-3 number, since 3×10985952³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10985952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10985959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34498 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (424053).

Almost surely, 2^10985952 is an apocalyptic number.

10985952 is a gapful number since it is divisible by the number (12) 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 10985952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265908).

10985952 is an abundant number, since it is smaller than the sum of its proper divisors (19545864).

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

10985952 is a wasteful number, since it uses less digits than its factorization.

10985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 10985952 is about 3314.5062980782. The cubic root of 10985952 is about 222.3032945673.

The spelling of 10985952 in words is "ten million, nine hundred eighty-five thousand, nine hundred fifty-two".