8259664 has 40 divisors (see below), whose sum is σ = 18927360. Its totient is φ = 3416448.

The previous prime is 8259659. The next prime is 8259683. The reversal of 8259664 is 4669528.

8259664 = T₂₁₇ + T₂₁₈ + ... + T₃₉₀.

It is a happy number.

8259664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 4519.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 2^8259664 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 8259664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463680).

8259664 is an abundant number, since it is smaller than the sum of its proper divisors (10667696).

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

8259664 is a wasteful number, since it uses less digits than its factorization.

8259664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2581 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 8259664 is about 2873.9631173695. The cubic root of 8259664 is about 202.1408683120.

The spelling of 8259664 in words is "eight million, two hundred fifty-nine thousand, six hundred sixty-four".