7985384 has 32 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 3590400.

The previous prime is 7985381. The next prime is 7985387. The reversal of 7985384 is 4835897.

It is an interprime number because it is at equal distance from previous prime (7985381) and next prime (7985387).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (7985381) 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 7 ways as a sum of consecutive naturals, for example, 8624 + ... + 9504.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^7985384 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 7985384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

7985384 is an abundant number, since it is smaller than the sum of its proper divisors (8525656).

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

7985384 is a wasteful number, since it uses less digits than its factorization.

7985384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 7985384 is about 2825.8421753523. The cubic root of 7985384 is about 199.8781257484.

The spelling of 7985384 in words is "seven million, nine hundred eighty-five thousand, three hundred eighty-four".