7984956 has 48 divisors (see below), whose sum is σ = 22224384. Its totient is φ = 2181696.

The previous prime is 7984939. The next prime is 7984957. The reversal of 7984956 is 6594897.

7984956 = T₁₁₅ + T₁₁₆ + ... + T₃₆₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7984957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (463008).

Almost surely, 2^7984956 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 7984956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112192).

7984956 is an abundant number, since it is smaller than the sum of its proper divisors (14239428).

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

7984956 is a wasteful number, since it uses less digits than its factorization.

7984956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4168 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 7984956 is about 2825.7664447013. The cubic root of 7984956 is about 199.8745546671.

The spelling of 7984956 in words is "seven million, nine hundred eighty-four thousand, nine hundred fifty-six".