1305648 has 30 divisors (see below), whose sum is σ = 3654404. Its totient is φ = 435168.

The previous prime is 1305643. The next prime is 1305653. The reversal of 1305648 is 8465031.

1305648 is a `hidden beast` number, since 13 + 0 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1305643) and next prime (1305653).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1305643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4390 + ... + 4677.

2^1305648 is an apocalyptic number.

1305648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1305648 is an abundant number, since it is smaller than the sum of its proper divisors (2348756).

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

1305648 is a wasteful number, since it uses less digits than its factorization.

1305648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1305648 is about 1142.6495525751. The cubic root of 1305648 is about 109.2971160364.

It can be divided in two parts, 1305 and 648, that added together give a triangular number (1953 = T₆₂).

The spelling of 1305648 in words is "one million, three hundred five thousand, six hundred forty-eight".