10984820 has 72 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 3420480.

The previous prime is 10984789. The next prime is 10984837. The reversal of 10984820 is 2848901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10271 + ... + 11289.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 2^10984820 is an apocalyptic number.

10984820 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 10984820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

10984820 is an abundant number, since it is smaller than the sum of its proper divisors (18317740).

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

10984820 is a wasteful number, since it uses less digits than its factorization.

10984820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10984820 is about 3314.3355291823. The cubic root of 10984820 is about 222.2956588772.

The spelling of 10984820 in words is "ten million, nine hundred eighty-four thousand, eight hundred twenty".