1305216 has 96 divisors (see below), whose sum is σ = 4137120. Its totient is φ = 391680.

The previous prime is 1305169. The next prime is 1305229. The reversal of 1305216 is 6125031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12621 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (43095).

2^1305216 is an apocalyptic number.

1305216 is a gapful number since it is divisible by the number (16) 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 1305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068560).

1305216 is an abundant number, since it is smaller than the sum of its proper divisors (2831904).

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

1305216 is a wasteful number, since it uses less digits than its factorization.

1305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1305216 is about 1142.4605025995. The cubic root of 1305216 is about 109.2850603209.

It can be divided in two parts, 130521 and 6, that multiplied together give a triangular number (783126 = T₁₂₅₁).

The spelling of 1305216 in words is "one million, three hundred five thousand, two hundred sixteen".