7985601 has 16 divisors (see below), whose sum is σ = 12741120. Its totient is φ = 4914000.

The previous prime is 7985587. The next prime is 7985603. The reversal of 7985601 is 1065897.

7985601 is a `hidden beast` number, since 7 + 98 + 560 + 1 = 666.

It is not a de Polignac number, because 7985601 - 2¹⁴ = 7969217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7985603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11025 + ... + 11726.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 2^7985601 is an apocalyptic number.

It is an amenable number.

7985601 is a deficient number, since it is larger than the sum of its proper divisors (4755519).

7985601 is a wasteful number, since it uses less digits than its factorization.

7985601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22773 (or 22767 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7985601 is about 2825.8805707248. The cubic root of 7985601 is about 199.8799362713.

The spelling of 7985601 in words is "seven million, nine hundred eighty-five thousand, six hundred one".