7985088 has 56 divisors (see below), whose sum is σ = 23479760. Its totient is φ = 2661120.

The previous prime is 7985077. The next prime is 7985093. The reversal of 7985088 is 8805897.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 4038.

Almost surely, 2^7985088 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 7985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11739880).

7985088 is an abundant number, since it is smaller than the sum of its proper divisors (15494672).

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

7985088 is a wasteful number, since it uses less digits than its factorization.

7985088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 7985088 is about 2825.7898010999. The cubic root of 7985088 is about 199.8756560423.

It can be divided in two parts, 798 and 5088, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 7985088 in words is "seven million, nine hundred eighty-five thousand, eighty-eight".