8617164 has 48 divisors (see below), whose sum is σ = 21718368. Its totient is φ = 2649088.

The previous prime is 8617153. The next prime is 8617171. The reversal of 8617164 is 4617168.

It is a happy number.

8617164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10414 + ... + 11210.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 2^8617164 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 8617164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859184).

8617164 is an abundant number, since it is smaller than the sum of its proper divisors (13101204).

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

8617164 is a wasteful number, since it uses less digits than its factorization.

8617164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 872 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 8617164 is about 2935.5006387327. The cubic root of 8617164 is about 205.0161716372.

The spelling of 8617164 in words is "eight million, six hundred seventeen thousand, one hundred sixty-four".