1305120 has 48 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 347904.

The previous prime is 1305097. The next prime is 1305121. The reversal of 1305120 is 215031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1305096 and 1305105.

It is not an unprimeable number, because it can be changed into a prime (1305121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 880 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

2^1305120 is an apocalyptic number.

1305120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305120 is an abundant number, since it is smaller than the sum of its proper divisors (2807520).

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

1305120 is a wasteful number, since it uses less digits than its factorization.

1305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1305120 is about 1142.4184872454. The cubic root of 1305120 is about 109.2823809117.

The spelling of 1305120 in words is "one million, three hundred five thousand, one hundred twenty".