1205280 has 144 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 311040.

The previous prime is 1205257. The next prime is 1205287. The reversal of 1205280 is 825021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1205287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38865 + ... + 38895.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2^1205280 is an apocalyptic number.

1205280 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 1205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1205280 is an abundant number, since it is smaller than the sum of its proper divisors (3197664).

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

1205280 is an equidigital number, since it uses as much as digits as its factorization.

1205280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1205280 is about 1097.8524491023. The cubic root of 1205280 is about 106.4214854759.

It can be divided in two parts, 1205 and 280, that added together give a triangular number (1485 = T₅₄).

The spelling of 1205280 in words is "one million, two hundred five thousand, two hundred eighty".