7985664 has 60 divisors (see below), whose sum is σ = 23060466. Its totient is φ = 2660352.

The previous prime is 7985657. The next prime is 7985683. The reversal of 7985664 is 4665897.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 1016064 = 2640^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3742 + ... + 5474.

Almost surely, 2^7985664 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 7985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530233).

7985664 is an abundant number, since it is smaller than the sum of its proper divisors (15074802).

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

7985664 is a wasteful number, since it uses less digits than its factorization.

7985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1738 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 7985664 is about 2825.8917176707. The cubic root of 7985664 is about 199.8804619008.

It can be divided in two parts, 7985 and 664, that added together give a square (8649 = 93²).

The spelling of 7985664 in words is "seven million, nine hundred eighty-five thousand, six hundred sixty-four".