7998564 has 72 divisors (see below), whose sum is σ = 22165248. Its totient is φ = 2237760.

The previous prime is 7998553. The next prime is 7998569. The reversal of 7998564 is 4658997.

It is not an unprimeable number, because it can be changed into a prime (7998569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35757 + ... + 35979.

Almost surely, 2^7998564 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 7998564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082624).

7998564 is an abundant number, since it is smaller than the sum of its proper divisors (14166684).

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

7998564 is a wasteful number, since it uses less digits than its factorization.

7998564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

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

The square root of 7998564 is about 2828.1732620191. The cubic root of 7998564 is about 199.9880326173.

The spelling of 7998564 in words is "seven million, nine hundred ninety-eight thousand, five hundred sixty-four".