10985984 has 40 divisors (see below), whose sum is σ = 22506000. Its totient is φ = 5354496.

The previous prime is 10985981. The next prime is 10985993. The reversal of 10985984 is 48958901.

It is not an unprimeable number, because it can be changed into a prime (10985981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21767 + ... + 22265.

It is an arithmetic number, because the mean of its divisors is an integer number (562650).

Almost surely, 2^10985984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253000).

10985984 is an abundant number, since it is smaller than the sum of its proper divisors (11520016).

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

10985984 is an frugal number, since it uses more digits than its factorization.

10985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 10985984 is about 3314.5111253396. The cubic root of 10985984 is about 222.3035104096.

The spelling of 10985984 in words is "ten million, nine hundred eighty-five thousand, nine hundred eighty-four".