7984256 has 96 divisors (see below), whose sum is σ = 19767600. Its totient is φ = 3193344.

The previous prime is 7984253. The next prime is 7984259. The reversal of 7984256 is 6524897.

It is an interprime number because it is at equal distance from previous prime (7984253) and next prime (7984259).

It is not an unprimeable number, because it can be changed into a prime (7984253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119135 + ... + 119201.

Almost surely, 2^7984256 is an apocalyptic number.

7984256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9883800).

7984256 is an abundant number, since it is smaller than the sum of its proper divisors (11783344).

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

7984256 is a wasteful number, since it uses less digits than its factorization.

7984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 7984256 is about 2825.6425817856. The cubic root of 7984256 is about 199.8687138386.

The spelling of 7984256 in words is "seven million, nine hundred eighty-four thousand, two hundred fifty-six".