1205360 has 80 divisors (see below), whose sum is σ = 3228960. Its totient is φ = 414720.

The previous prime is 1205339. The next prime is 1205377. The reversal of 1205360 is 635021.

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

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, 19730 + ... + 19790.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2^1205360 is an apocalyptic number.

1205360 is a gapful number since it is divisible by the number (10) 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 1205360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614480).

1205360 is an abundant number, since it is smaller than the sum of its proper divisors (2023600).

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

1205360 is a wasteful number, since it uses less digits than its factorization.

1205360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1205360 is about 1097.8888832664. Note that the first 5 decimals coincide. The cubic root of 1205360 is about 106.4238399856.

The spelling of 1205360 in words is "one million, two hundred five thousand, three hundred sixty".