986160 has 80 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 225024.

The previous prime is 986149. The next prime is 986177. The reversal of 986160 is 61689.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

986160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 1973.

2⁹⁸⁶¹⁶⁰ 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 986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

986160 is an abundant number, since it is smaller than the sum of its proper divisors (2513616).

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

986160 is a wasteful number, since it uses less digits than its factorization.

986160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 986160 is about 993.0558896658. The cubic root of 986160 is about 99.5365218655.

The spelling of 986160 in words is "nine hundred eighty-six thousand, one hundred sixty".