1305936 has 40 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 435168.

The previous prime is 1305919. The next prime is 1305947. The reversal of 1305936 is 6395031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^1305936 is an apocalyptic number.

1305936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1305936 is an abundant number, since it is smaller than the sum of its proper divisors (2443824).

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

1305936 is a wasteful number, since it uses less digits than its factorization.

1305936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1305936 is about 1142.7755685173. The cubic root of 1305936 is about 109.3051517028.

The spelling of 1305936 in words is "one million, three hundred five thousand, nine hundred thirty-six".