10345984 has 60 divisors (see below), whose sum is σ = 22857912. Its totient is φ = 4674560.

The previous prime is 10345961. The next prime is 10345997. The reversal of 10345984 is 48954301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61869 + ... + 62035.

Almost surely, 2^10345984 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 10345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428956).

10345984 is an abundant number, since it is smaller than the sum of its proper divisors (12511928).

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

10345984 is an equidigital number, since it uses as much as digits as its factorization.

10345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 10345984 is about 3216.5173713195. The cubic root of 10345984 is about 217.9000186814.

The spelling of 10345984 in words is "ten million, three hundred forty-five thousand, nine hundred eighty-four".