10984400 has 60 divisors (see below), whose sum is σ = 30167712. Its totient is φ = 3765120.

The previous prime is 10984399. The next prime is 10984403. The reversal of 10984400 is 448901.

It is a self number, because there is not a number n which added to its sum of digits gives 10984400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 839 + ... + 4761.

Almost surely, 2^10984400 is an apocalyptic number.

10984400 is a gapful number since it is divisible by the number (10) 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 10984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083856).

10984400 is an abundant number, since it is smaller than the sum of its proper divisors (19183312).

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

10984400 is a wasteful number, since it uses less digits than its factorization.

10984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 10984400 is about 3314.2721674600. The cubic root of 10984400 is about 222.2928257139.

The spelling of 10984400 in words is "ten million, nine hundred eighty-four thousand, four hundred".