10409984 has 96 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 4325376.

The previous prime is 10409981. The next prime is 10409989. The reversal of 10409984 is 48990401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409981) 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, 452597 + ... + 452619.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^10409984 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 10409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

10409984 is an abundant number, since it is smaller than the sum of its proper divisors (14356576).

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

10409984 is a wasteful number, since it uses less digits than its factorization.

10409984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 10409984 is about 3226.4506814765. The cubic root of 10409984 is about 218.3484034169.

The spelling of 10409984 in words is "ten million, four hundred nine thousand, nine hundred eighty-four".