10984416 has 48 divisors (see below), whose sum is σ = 29772288. Its totient is φ = 3542400.

The previous prime is 10984403. The next prime is 10984423. The reversal of 10984416 is 61448901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10984416² = 241314789722112, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (620256).

Almost surely, 2^10984416 is an apocalyptic number.

10984416 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 10984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886144).

10984416 is an abundant number, since it is smaller than the sum of its proper divisors (18787872).

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

10984416 is a wasteful number, since it uses less digits than its factorization.

10984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10984416 is about 3314.2745812621. The cubic root of 10984416 is about 222.2929336453.

The spelling of 10984416 in words is "ten million, nine hundred eighty-four thousand, four hundred sixteen".