7664085 has 64 divisors (see below), whose sum is σ = 16047360. Its totient is φ = 3421440.

The previous prime is 7664077. The next prime is 7664123. The reversal of 7664085 is 5804667.

It is a happy number.

7664085 is a `hidden beast` number, since 7 + 6 + 640 + 8 + 5 = 666.

It is not a de Polignac number, because 7664085 - 2³ = 7664077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19107 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (250740).

Almost surely, 2^7664085 is an apocalyptic number.

It is an amenable number.

7664085 is an abundant number, since it is smaller than the sum of its proper divisors (8383275).

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

7664085 is a wasteful number, since it uses less digits than its factorization.

7664085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7664085 is about 2768.4083875035. The cubic root of 7664085 is about 197.1605877923.

It can be divided in two parts, 766 and 4085, that added together give a triangular number (4851 = T₉₈).

The spelling of 7664085 in words is "seven million, six hundred sixty-four thousand, eighty-five".