7895664 has 120 divisors (see below), whose sum is σ = 26434320. Its totient is φ = 2249856.

The previous prime is 7895663. The next prime is 7895681. The reversal of 7895664 is 4665987.

7895664 is a `hidden beast` number, since 7 + 89 + 566 + 4 = 666.

7895664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7895663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20982 + ... + 21354.

It is an arithmetic number, because the mean of its divisors is an integer number (220286).

Almost surely, 2^7895664 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 7895664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217160).

7895664 is an abundant number, since it is smaller than the sum of its proper divisors (18538656).

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

7895664 is a wasteful number, since it uses less digits than its factorization.

7895664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

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

The square root of 7895664 is about 2809.9224188579. The cubic root of 7895664 is about 199.1267258443.

The spelling of 7895664 in words is "seven million, eight hundred ninety-five thousand, six hundred sixty-four".