8586960 has 80 divisors (see below), whose sum is σ = 27367296. Its totient is φ = 2225664.

The previous prime is 8586959. The next prime is 8586967. The reversal of 8586960 is 696858.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8586967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 9363.

Almost surely, 2^8586960 is an apocalyptic number.

8586960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8586960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683648).

8586960 is an abundant number, since it is smaller than the sum of its proper divisors (18780336).

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

8586960 is a wasteful number, since it uses less digits than its factorization.

8586960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 8586960 is about 2930.3515147504. The cubic root of 8586960 is about 204.7763573375.

The spelling of 8586960 in words is "eight million, five hundred eighty-six thousand, nine hundred sixty".