7985152 has 48 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 3416064.

The previous prime is 7985147. The next prime is 7985171. The reversal of 7985152 is 2515897.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14058 + ... + 14614.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^7985152 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 7985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

7985152 is an abundant number, since it is smaller than the sum of its proper divisors (10294928).

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

7985152 is an equidigital number, since it uses as much as digits as its factorization.

7985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 566 counting only the distinct ones).

The product of its digits is 25200, while the sum is 37.

The square root of 7985152 is about 2825.8011253448. The cubic root of 7985152 is about 199.8761900379.

The spelling of 7985152 in words is "seven million, nine hundred eighty-five thousand, one hundred fifty-two".