861360 has 80 divisors (see below), whose sum is σ = 2770656. Its totient is φ = 221184.

The previous prime is 861353. The next prime is 861361. The reversal of 861360 is 63168.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 861360.

It is not an unprimeable number, because it can be changed into a prime (861361) by changing a digit.

861360 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, 8832 + ... + 8928.

2⁸⁶¹³⁶⁰ is an apocalyptic number.

861360 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 861360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385328).

861360 is an abundant number, since it is smaller than the sum of its proper divisors (1909296).

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

861360 is a wasteful number, since it uses less digits than its factorization.

861360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 861360 is about 928.0948227417. The cubic root of 861360 is about 95.1469563037.

It can be divided in two parts, 861 and 360, that added together give a palindrome (1221).

The spelling of 861360 in words is "eight hundred sixty-one thousand, three hundred sixty".