7984116 has 96 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 2229984.

The previous prime is 7984037. The next prime is 7984121. The reversal of 7984116 is 6114897.

It is a super-2 number, since 2×7984116² = 127492216602912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44515 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^7984116 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 7984116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

7984116 is an abundant number, since it is smaller than the sum of its proper divisors (16207884).

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

7984116 is a wasteful number, since it uses less digits than its factorization.

7984116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7984116 is about 2825.6178085509. The cubic root of 7984116 is about 199.8675456319.

It can be divided in two parts, 7984 and 116, that added together give a square (8100 = 90²).

The spelling of 7984116 in words is "seven million, nine hundred eighty-four thousand, one hundred sixteen".