1365936 has 80 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 380160.

The previous prime is 1365919. The next prime is 1365977. The reversal of 1365936 is 6395631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1365897 and 1365906.

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 15 ways as a sum of consecutive naturals, for example, 6765 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^1365936 is an apocalyptic number.

1365936 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 1365936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1365936 is an abundant number, since it is smaller than the sum of its proper divisors (2800464).

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

1365936 is a wasteful number, since it uses less digits than its factorization.

1365936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 1365936 is about 1168.7326469300. The cubic root of 1365936 is about 110.9541243750.

It can be divided in two parts, 13659 and 36, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 1365936 in words is "one million, three hundred sixty-five thousand, nine hundred thirty-six".