10961984 has 56 divisors (see below), whose sum is σ = 24798528. Its totient is φ = 4759040.

The previous prime is 10961969. The next prime is 10961987. The reversal of 10961984 is 48916901.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10961987) 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, 15854 + ... + 16530.

Almost surely, 2^10961984 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 10961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399264).

10961984 is an abundant number, since it is smaller than the sum of its proper divisors (13836544).

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

10961984 is a wasteful number, since it uses less digits than its factorization.

10961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 10961984 is about 3310.8887024483. Note that the first 3 decimals coincide. The cubic root of 10961984 is about 222.1415108372.

The spelling of 10961984 in words is "ten million, nine hundred sixty-one thousand, nine hundred eighty-four".