8573664 has 96 divisors (see below), whose sum is σ = 25691904. Its totient is φ = 2478080.

The previous prime is 8573657. The next prime is 8573671. The reversal of 8573664 is 4663758.

It is an interprime number because it is at equal distance from previous prime (8573657) and next prime (8573671).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8573664³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24112 + ... + 24464.

It is an arithmetic number, because the mean of its divisors is an integer number (267624).

Almost surely, 2^8573664 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 8573664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845952).

8573664 is an abundant number, since it is smaller than the sum of its proper divisors (17118240).

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

8573664 is a wasteful number, since it uses less digits than its factorization.

8573664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 8573664 is about 2928.0819660658. The cubic root of 8573664 is about 204.6706112243.

The spelling of 8573664 in words is "eight million, five hundred seventy-three thousand, six hundred sixty-four".