10521984 has 128 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 3061760.

The previous prime is 10521947. The next prime is 10522007. The reversal of 10521984 is 48912501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10521984² = 221424294592512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198502 + ... + 198554.

It is an arithmetic number, because the mean of its divisors is an integer number (247860).

Almost surely, 2^10521984 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 10521984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

10521984 is an abundant number, since it is smaller than the sum of its proper divisors (21204096).

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

10521984 is a wasteful number, since it uses less digits than its factorization.

10521984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 10521984 is about 3243.7607803289. The cubic root of 10521984 is about 219.1286748246.

The spelling of 10521984 in words is "ten million, five hundred twenty-one thousand, nine hundred eighty-four".