1205160 has 96 divisors (see below), whose sum is σ = 4021920. Its totient is φ = 288640.

The previous prime is 1205159. The next prime is 1205173. The reversal of 1205160 is 615021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14479 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2^1205160 is an apocalyptic number.

1205160 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 1205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010960).

1205160 is an abundant number, since it is smaller than the sum of its proper divisors (2816760).

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

1205160 is a wasteful number, since it uses less digits than its factorization.

1205160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1205160 is about 1097.7977955890. The cubic root of 1205160 is about 106.4179535159.

The spelling of 1205160 in words is "one million, two hundred five thousand, one hundred sixty".